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Finding the Fourth Proportional to 10,829,794.80, 16,238,471.40 and 3,255,625.20

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Solution

The fourth proportional to 10,829,794.80, 16,238,471.40 and 3,255,625.20 is: 4,881,567.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,829,794.80 : 16,238,471.40 = 3,255,625.20 : x
  2. Step 2: Convert to fraction form
    10,829,794.80/16,238,471.40 = 3,255,625.20/x
  3. Step 3: Cross multiply
    10,829,794.80x = 16,238,471.40 × 3,255,625.20
  4. Step 4: Simplify right side
    10,829,794.80x = 52,866,376,699,319.28
  5. Step 5: Solve for x
    x = 52,866,376,699,319.28/10,829,794.80
  6. Step 6: Final answer
    x = 4,881,567.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.