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Finding the Fourth Proportional to 102,454.12, 153,689.82 and 32,337.64

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Solution

The fourth proportional to 102,454.12, 153,689.82 and 32,337.64 is: 48,509.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,454.12 : 153,689.82 = 32,337.64 : x
  2. Step 2: Convert to fraction form
    102,454.12/153,689.82 = 32,337.64/x
  3. Step 3: Cross multiply
    102,454.12x = 153,689.82 × 32,337.64
  4. Step 4: Simplify right side
    102,454.12x = 4,969,966,070.82
  5. Step 5: Solve for x
    x = 4,969,966,070.82/102,454.12
  6. Step 6: Final answer
    x = 48,509.19

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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.