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Finding the Fourth Proportional to 92,009.16, 137,979.82 and 32,829

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Solution

The fourth proportional to 92,009.16, 137,979.82 and 32,829 is: 49,231.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,009.16 : 137,979.82 = 32,829 : x
  2. Step 2: Convert to fraction form
    92,009.16/137,979.82 = 32,829/x
  3. Step 3: Cross multiply
    92,009.16x = 137,979.82 × 32,829
  4. Step 4: Simplify right side
    92,009.16x = 4,529,739,510.78
  5. Step 5: Solve for x
    x = 4,529,739,510.78/92,009.16
  6. Step 6: Final answer
    x = 49,231.40

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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.