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Finding the Fourth Proportional to 52,113.16, 71,916.42 and 30,617.38

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Solution

The fourth proportional to 52,113.16, 71,916.42 and 30,617.38 is: 42,252.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,113.16 : 71,916.42 = 30,617.38 : x
  2. Step 2: Convert to fraction form
    52,113.16/71,916.42 = 30,617.38/x
  3. Step 3: Cross multiply
    52,113.16x = 71,916.42 × 30,617.38
  4. Step 4: Simplify right side
    52,113.16x = 2,201,892,359.38
  5. Step 5: Solve for x
    x = 2,201,892,359.38/52,113.16
  6. Step 6: Final answer
    x = 42,252.14

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Why These Related Problems?

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