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Finding the Fourth Proportional to 32,959.40, 49,447.52 and 9,585.84

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Solution

The fourth proportional to 32,959.40, 49,447.52 and 9,585.84 is: 14,381.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,959.40 : 49,447.52 = 9,585.84 : x
  2. Step 2: Convert to fraction form
    32,959.40/49,447.52 = 9,585.84/x
  3. Step 3: Cross multiply
    32,959.40x = 49,447.52 × 9,585.84
  4. Step 4: Simplify right side
    32,959.40x = 473,996,015.12
  5. Step 5: Solve for x
    x = 473,996,015.12/32,959.40
  6. Step 6: Final answer
    x = 14,381.21

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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.