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Finding the Fourth Proportional to 52,854.60, 72,939.96 and 30,196.59

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Solution

The fourth proportional to 52,854.60, 72,939.96 and 30,196.59 is: 41,671.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,854.60 : 72,939.96 = 30,196.59 : x
  2. Step 2: Convert to fraction form
    52,854.60/72,939.96 = 30,196.59/x
  3. Step 3: Cross multiply
    52,854.60x = 72,939.96 × 30,196.59
  4. Step 4: Simplify right side
    52,854.60x = 2,202,538,066.74
  5. Step 5: Solve for x
    x = 2,202,538,066.74/52,854.60
  6. Step 6: Final answer
    x = 41,671.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.