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Finding the Fourth Proportional to 77,732.40, 116,569.80 and 25,143.60

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Solution

The fourth proportional to 77,732.40, 116,569.80 and 25,143.60 is: 37,706.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,732.40 : 116,569.80 = 25,143.60 : x
  2. Step 2: Convert to fraction form
    77,732.40/116,569.80 = 25,143.60/x
  3. Step 3: Cross multiply
    77,732.40x = 116,569.80 × 25,143.60
  4. Step 4: Simplify right side
    77,732.40x = 2,930,984,423.28
  5. Step 5: Solve for x
    x = 2,930,984,423.28/77,732.40
  6. Step 6: Final answer
    x = 37,706.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.