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Finding the Fourth Proportional to 32,901.10, 49,207.65 and 29,416.30

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Solution

The fourth proportional to 32,901.10, 49,207.65 and 29,416.30 is: 43,995.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,901.10 : 49,207.65 = 29,416.30 : x
  2. Step 2: Convert to fraction form
    32,901.10/49,207.65 = 29,416.30/x
  3. Step 3: Cross multiply
    32,901.10x = 49,207.65 × 29,416.30
  4. Step 4: Simplify right side
    32,901.10x = 1,447,506,994.70
  5. Step 5: Solve for x
    x = 1,447,506,994.70/32,901.10
  6. Step 6: Final answer
    x = 43,995.70

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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.