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Finding the Fourth Proportional to 52,463.70, 78,666.69 and 35,842.50

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Solution

The fourth proportional to 52,463.70, 78,666.69 and 35,842.50 is: 53,744.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,463.70 : 78,666.69 = 35,842.50 : x
  2. Step 2: Convert to fraction form
    52,463.70/78,666.69 = 35,842.50/x
  3. Step 3: Cross multiply
    52,463.70x = 78,666.69 × 35,842.50
  4. Step 4: Simplify right side
    52,463.70x = 2,819,610,970.73
  5. Step 5: Solve for x
    x = 2,819,610,970.73/52,463.70
  6. Step 6: Final answer
    x = 53,744.04

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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.