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Finding the Fourth Proportional to 102,449.64, 153,701.82 and 32,330.28

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Solution

The fourth proportional to 102,449.64, 153,701.82 and 32,330.28 is: 48,504.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,449.64 : 153,701.82 = 32,330.28 : x
  2. Step 2: Convert to fraction form
    102,449.64/153,701.82 = 32,330.28/x
  3. Step 3: Cross multiply
    102,449.64x = 153,701.82 × 32,330.28
  4. Step 4: Simplify right side
    102,449.64x = 4,969,222,877.11
  5. Step 5: Solve for x
    x = 4,969,222,877.11/102,449.64
  6. Step 6: Final answer
    x = 48,504.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.