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Finding the Fourth Proportional to 52,406.88, 78,598.17 and 14,965.98

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Solution

The fourth proportional to 52,406.88, 78,598.17 and 14,965.98 is: 22,445.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,406.88 : 78,598.17 = 14,965.98 : x
  2. Step 2: Convert to fraction form
    52,406.88/78,598.17 = 14,965.98/x
  3. Step 3: Cross multiply
    52,406.88x = 78,598.17 × 14,965.98
  4. Step 4: Simplify right side
    52,406.88x = 1,176,298,640.26
  5. Step 5: Solve for x
    x = 1,176,298,640.26/52,406.88
  6. Step 6: Final answer
    x = 22,445.50

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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.