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Finding the Fourth Proportional to 65,154.78, 97,630.11 and 52,003.62

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Solution

The fourth proportional to 65,154.78, 97,630.11 and 52,003.62 is: 77,923.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,154.78 : 97,630.11 = 52,003.62 : x
  2. Step 2: Convert to fraction form
    65,154.78/97,630.11 = 52,003.62/x
  3. Step 3: Cross multiply
    65,154.78x = 97,630.11 × 52,003.62
  4. Step 4: Simplify right side
    65,154.78x = 5,077,119,141.00
  5. Step 5: Solve for x
    x = 5,077,119,141.00/65,154.78
  6. Step 6: Final answer
    x = 77,923.97

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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.