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Finding the Fourth Proportional to 70,432.57, 105,666.19 and 20,513.14

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Solution

The fourth proportional to 70,432.57, 105,666.19 and 20,513.14 is: 30,774.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,432.57 : 105,666.19 = 20,513.14 : x
  2. Step 2: Convert to fraction form
    70,432.57/105,666.19 = 20,513.14/x
  3. Step 3: Cross multiply
    70,432.57x = 105,666.19 × 20,513.14
  4. Step 4: Simplify right side
    70,432.57x = 2,167,545,033.29
  5. Step 5: Solve for x
    x = 2,167,545,033.29/70,432.57
  6. Step 6: Final answer
    x = 30,774.75

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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.