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Finding the Fourth Proportional to 52,646.50, 78,983.43 and 15,710.50

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Solution

The fourth proportional to 52,646.50, 78,983.43 and 15,710.50 is: 23,569.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,646.50 : 78,983.43 = 15,710.50 : x
  2. Step 2: Convert to fraction form
    52,646.50/78,983.43 = 15,710.50/x
  3. Step 3: Cross multiply
    52,646.50x = 78,983.43 × 15,710.50
  4. Step 4: Simplify right side
    52,646.50x = 1,240,869,177.02
  5. Step 5: Solve for x
    x = 1,240,869,177.02/52,646.50
  6. Step 6: Final answer
    x = 23,569.83

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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.