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Finding the Fourth Proportional to 32,412.60, 48,691.80 and 31,173.30

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Solution

The fourth proportional to 32,412.60, 48,691.80 and 31,173.30 is: 46,830.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,412.60 : 48,691.80 = 31,173.30 : x
  2. Step 2: Convert to fraction form
    32,412.60/48,691.80 = 31,173.30/x
  3. Step 3: Cross multiply
    32,412.60x = 48,691.80 × 31,173.30
  4. Step 4: Simplify right side
    32,412.60x = 1,517,884,088.94
  5. Step 5: Solve for x
    x = 1,517,884,088.94/32,412.60
  6. Step 6: Final answer
    x = 46,830.06

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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.