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Finding the Fourth Proportional to 75,269.60, 112,904.40 and 37,944.80

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Solution

The fourth proportional to 75,269.60, 112,904.40 and 37,944.80 is: 56,917.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,269.60 : 112,904.40 = 37,944.80 : x
  2. Step 2: Convert to fraction form
    75,269.60/112,904.40 = 37,944.80/x
  3. Step 3: Cross multiply
    75,269.60x = 112,904.40 × 37,944.80
  4. Step 4: Simplify right side
    75,269.60x = 4,284,134,877.12
  5. Step 5: Solve for x
    x = 4,284,134,877.12/75,269.60
  6. Step 6: Final answer
    x = 56,917.20

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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.