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Finding the Fourth Proportional to 97,162.71, 145,763.70 and 41,002.94

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Solution

The fourth proportional to 97,162.71, 145,763.70 and 41,002.94 is: 61,512.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,162.71 : 145,763.70 = 41,002.94 : x
  2. Step 2: Convert to fraction form
    97,162.71/145,763.70 = 41,002.94/x
  3. Step 3: Cross multiply
    97,162.71x = 145,763.70 × 41,002.94
  4. Step 4: Simplify right side
    97,162.71x = 5,976,739,516.46
  5. Step 5: Solve for x
    x = 5,976,739,516.46/97,162.71
  6. Step 6: Final answer
    x = 61,512.69

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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.