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Finding the Fourth Proportional to 96,407.60, 144,588.08 and 37,205.52

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Solution

The fourth proportional to 96,407.60, 144,588.08 and 37,205.52 is: 55,799.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,407.60 : 144,588.08 = 37,205.52 : x
  2. Step 2: Convert to fraction form
    96,407.60/144,588.08 = 37,205.52/x
  3. Step 3: Cross multiply
    96,407.60x = 144,588.08 × 37,205.52
  4. Step 4: Simplify right side
    96,407.60x = 5,379,474,702.20
  5. Step 5: Solve for x
    x = 5,379,474,702.20/96,407.60
  6. Step 6: Final answer
    x = 55,799.28

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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.