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Finding the Fourth Proportional to 42,815.68, 59,097.51 and 24,914.14

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Solution

The fourth proportional to 42,815.68, 59,097.51 and 24,914.14 is: 34,388.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,815.68 : 59,097.51 = 24,914.14 : x
  2. Step 2: Convert to fraction form
    42,815.68/59,097.51 = 24,914.14/x
  3. Step 3: Cross multiply
    42,815.68x = 59,097.51 × 24,914.14
  4. Step 4: Simplify right side
    42,815.68x = 1,472,363,637.79
  5. Step 5: Solve for x
    x = 1,472,363,637.79/42,815.68
  6. Step 6: Final answer
    x = 34,388.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.