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Finding the Fourth Proportional to 97,043.92, 145,411.98 and 74,911.48

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Solution

The fourth proportional to 97,043.92, 145,411.98 and 74,911.48 is: 112,248.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,043.92 : 145,411.98 = 74,911.48 : x
  2. Step 2: Convert to fraction form
    97,043.92/145,411.98 = 74,911.48/x
  3. Step 3: Cross multiply
    97,043.92x = 145,411.98 × 74,911.48
  4. Step 4: Simplify right side
    97,043.92x = 10,893,026,631.53
  5. Step 5: Solve for x
    x = 10,893,026,631.53/97,043.92
  6. Step 6: Final answer
    x = 112,248.42

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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.