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Finding the Fourth Proportional to 32,765.16, 49,139.62 and 14,043.08

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Solution

The fourth proportional to 32,765.16, 49,139.62 and 14,043.08 is: 21,061.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,765.16 : 49,139.62 = 14,043.08 : x
  2. Step 2: Convert to fraction form
    32,765.16/49,139.62 = 14,043.08/x
  3. Step 3: Cross multiply
    32,765.16x = 49,139.62 × 14,043.08
  4. Step 4: Simplify right side
    32,765.16x = 690,071,614.83
  5. Step 5: Solve for x
    x = 690,071,614.83/32,765.16
  6. Step 6: Final answer
    x = 21,061.14

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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.