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Finding the Fourth Proportional to 65,097.60, 97,545.94 and 43,954.78

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Solution

The fourth proportional to 65,097.60, 97,545.94 and 43,954.78 is: 65,864.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,097.60 : 97,545.94 = 43,954.78 : x
  2. Step 2: Convert to fraction form
    65,097.60/97,545.94 = 43,954.78/x
  3. Step 3: Cross multiply
    65,097.60x = 97,545.94 × 43,954.78
  4. Step 4: Simplify right side
    65,097.60x = 4,287,610,332.59
  5. Step 5: Solve for x
    x = 4,287,610,332.59/65,097.60
  6. Step 6: Final answer
    x = 65,864.34

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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.