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Finding the Fourth Proportional to 42,916.32, 59,228.16 and 24,057.09

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Solution

The fourth proportional to 42,916.32, 59,228.16 and 24,057.09 is: 33,200.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,916.32 : 59,228.16 = 24,057.09 : x
  2. Step 2: Convert to fraction form
    42,916.32/59,228.16 = 24,057.09/x
  3. Step 3: Cross multiply
    42,916.32x = 59,228.16 × 24,057.09
  4. Step 4: Simplify right side
    42,916.32x = 1,424,857,175.65
  5. Step 5: Solve for x
    x = 1,424,857,175.65/42,916.32
  6. Step 6: Final answer
    x = 33,200.82

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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.