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Finding the Fourth Proportional to 52,527.92, 78,742 and 20,957.36

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Solution

The fourth proportional to 52,527.92, 78,742 and 20,957.36 is: 31,416.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,527.92 : 78,742 = 20,957.36 : x
  2. Step 2: Convert to fraction form
    52,527.92/78,742 = 20,957.36/x
  3. Step 3: Cross multiply
    52,527.92x = 78,742 × 20,957.36
  4. Step 4: Simplify right side
    52,527.92x = 1,650,224,441.12
  5. Step 5: Solve for x
    x = 1,650,224,441.12/52,527.92
  6. Step 6: Final answer
    x = 31,416.14

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