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Finding the Fourth Proportional to 102,117.32, 153,176.04 and 32,002.08

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Solution

The fourth proportional to 102,117.32, 153,176.04 and 32,002.08 is: 48,003.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,117.32 : 153,176.04 = 32,002.08 : x
  2. Step 2: Convert to fraction form
    102,117.32/153,176.04 = 32,002.08/x
  3. Step 3: Cross multiply
    102,117.32x = 153,176.04 × 32,002.08
  4. Step 4: Simplify right side
    102,117.32x = 4,901,951,886.16
  5. Step 5: Solve for x
    x = 4,901,951,886.16/102,117.32
  6. Step 6: Final answer
    x = 48,003.14

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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.