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Finding the Fourth Proportional to 97,852.38, 134,989.92 and 66,031.54

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Solution

The fourth proportional to 97,852.38, 134,989.92 and 66,031.54 is: 91,092.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,852.38 : 134,989.92 = 66,031.54 : x
  2. Step 2: Convert to fraction form
    97,852.38/134,989.92 = 66,031.54/x
  3. Step 3: Cross multiply
    97,852.38x = 134,989.92 × 66,031.54
  4. Step 4: Simplify right side
    97,852.38x = 8,913,592,302.08
  5. Step 5: Solve for x
    x = 8,913,592,302.08/97,852.38
  6. Step 6: Final answer
    x = 91,092.24

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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.