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Finding the Fourth Proportional to 96,258.52, 144,353.22 and 37,064.44

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Solution

The fourth proportional to 96,258.52, 144,353.22 and 37,064.44 is: 55,583.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,258.52 : 144,353.22 = 37,064.44 : x
  2. Step 2: Convert to fraction form
    96,258.52/144,353.22 = 37,064.44/x
  3. Step 3: Cross multiply
    96,258.52x = 144,353.22 × 37,064.44
  4. Step 4: Simplify right side
    96,258.52x = 5,350,371,261.50
  5. Step 5: Solve for x
    x = 5,350,371,261.50/96,258.52
  6. Step 6: Final answer
    x = 55,583.35

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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.