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Finding the Fourth Proportional to 100,835.60, 151,248.80 and 37,650.80

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Solution

The fourth proportional to 100,835.60, 151,248.80 and 37,650.80 is: 56,474.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,835.60 : 151,248.80 = 37,650.80 : x
  2. Step 2: Convert to fraction form
    100,835.60/151,248.80 = 37,650.80/x
  3. Step 3: Cross multiply
    100,835.60x = 151,248.80 × 37,650.80
  4. Step 4: Simplify right side
    100,835.60x = 5,694,638,319.04
  5. Step 5: Solve for x
    x = 5,694,638,319.04/100,835.60
  6. Step 6: Final answer
    x = 56,474.48

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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.