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Finding the Fourth Proportional to 42,432.56, 63,666.84 and 22,706

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Solution

The fourth proportional to 42,432.56, 63,666.84 and 22,706 is: 34,068.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,432.56 : 63,666.84 = 22,706 : x
  2. Step 2: Convert to fraction form
    42,432.56/63,666.84 = 22,706/x
  3. Step 3: Cross multiply
    42,432.56x = 63,666.84 × 22,706
  4. Step 4: Simplify right side
    42,432.56x = 1,445,619,269.04
  5. Step 5: Solve for x
    x = 1,445,619,269.04/42,432.56
  6. Step 6: Final answer
    x = 34,068.63

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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.