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Finding the Fourth Proportional to 42,507.20, 63,663.60 and 21,706.40

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Solution

The fourth proportional to 42,507.20, 63,663.60 and 21,706.40 is: 32,509.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,507.20 : 63,663.60 = 21,706.40 : x
  2. Step 2: Convert to fraction form
    42,507.20/63,663.60 = 21,706.40/x
  3. Step 3: Cross multiply
    42,507.20x = 63,663.60 × 21,706.40
  4. Step 4: Simplify right side
    42,507.20x = 1,381,907,567.04
  5. Step 5: Solve for x
    x = 1,381,907,567.04/42,507.20
  6. Step 6: Final answer
    x = 32,509.96

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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.