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Finding the Fourth Proportional to 32,760.87, 49,132.80 and 9,381.84

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Solution

The fourth proportional to 32,760.87, 49,132.80 and 9,381.84 is: 14,070.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,760.87 : 49,132.80 = 9,381.84 : x
  2. Step 2: Convert to fraction form
    32,760.87/49,132.80 = 9,381.84/x
  3. Step 3: Cross multiply
    32,760.87x = 49,132.80 × 9,381.84
  4. Step 4: Simplify right side
    32,760.87x = 460,956,068.35
  5. Step 5: Solve for x
    x = 460,956,068.35/32,760.87
  6. Step 6: Final answer
    x = 14,070.32

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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.