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Finding the Fourth Proportional to 32,959.16, 49,447.14 and 9,585.60

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Solution

The fourth proportional to 32,959.16, 49,447.14 and 9,585.60 is: 14,380.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,959.16 : 49,447.14 = 9,585.60 : x
  2. Step 2: Convert to fraction form
    32,959.16/49,447.14 = 9,585.60/x
  3. Step 3: Cross multiply
    32,959.16x = 49,447.14 × 9,585.60
  4. Step 4: Simplify right side
    32,959.16x = 473,980,505.18
  5. Step 5: Solve for x
    x = 473,980,505.18/32,959.16
  6. Step 6: Final answer
    x = 14,380.84

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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.