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Finding the Fourth Proportional to 42,012.32, 63,042.98 and 15,735.51

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Solution

The fourth proportional to 42,012.32, 63,042.98 and 15,735.51 is: 23,612.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,012.32 : 63,042.98 = 15,735.51 : x
  2. Step 2: Convert to fraction form
    42,012.32/63,042.98 = 15,735.51/x
  3. Step 3: Cross multiply
    42,012.32x = 63,042.98 × 15,735.51
  4. Step 4: Simplify right side
    42,012.32x = 992,013,363.54
  5. Step 5: Solve for x
    x = 992,013,363.54/42,012.32
  6. Step 6: Final answer
    x = 23,612.44

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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.