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Finding the Fourth Proportional to 42,172.16, 63,269.20 and 22,434.48

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Solution

The fourth proportional to 42,172.16, 63,269.20 and 22,434.48 is: 33,657.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,172.16 : 63,269.20 = 22,434.48 : x
  2. Step 2: Convert to fraction form
    42,172.16/63,269.20 = 22,434.48/x
  3. Step 3: Cross multiply
    42,172.16x = 63,269.20 × 22,434.48
  4. Step 4: Simplify right side
    42,172.16x = 1,419,411,602.02
  5. Step 5: Solve for x
    x = 1,419,411,602.02/42,172.16
  6. Step 6: Final answer
    x = 33,657.55

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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.