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Finding the Fourth Proportional to 102,628.48, 141,626.88 and 57,916.16

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Solution

The fourth proportional to 102,628.48, 141,626.88 and 57,916.16 is: 79,924.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,628.48 : 141,626.88 = 57,916.16 : x
  2. Step 2: Convert to fraction form
    102,628.48/141,626.88 = 57,916.16/x
  3. Step 3: Cross multiply
    102,628.48x = 141,626.88 × 57,916.16
  4. Step 4: Simplify right side
    102,628.48x = 8,202,485,042.38
  5. Step 5: Solve for x
    x = 8,202,485,042.38/102,628.48
  6. Step 6: Final answer
    x = 79,924.06

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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.