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Finding the Fourth Proportional to 32,645.88, 48,969.35 and 14,177.88

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Solution

The fourth proportional to 32,645.88, 48,969.35 and 14,177.88 is: 21,267.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,645.88 : 48,969.35 = 14,177.88 : x
  2. Step 2: Convert to fraction form
    32,645.88/48,969.35 = 14,177.88/x
  3. Step 3: Cross multiply
    32,645.88x = 48,969.35 × 14,177.88
  4. Step 4: Simplify right side
    32,645.88x = 694,281,567.98
  5. Step 5: Solve for x
    x = 694,281,567.98/32,645.88
  6. Step 6: Final answer
    x = 21,267.05

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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.