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Finding the Fourth Proportional to 32,959.64, 49,444.38 and 9,583.04

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Solution

The fourth proportional to 32,959.64, 49,444.38 and 9,583.04 is: 14,375.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,959.64 : 49,444.38 = 9,583.04 : x
  2. Step 2: Convert to fraction form
    32,959.64/49,444.38 = 9,583.04/x
  3. Step 3: Cross multiply
    32,959.64x = 49,444.38 × 9,583.04
  4. Step 4: Simplify right side
    32,959.64x = 473,827,224.09
  5. Step 5: Solve for x
    x = 473,827,224.09/32,959.64
  6. Step 6: Final answer
    x = 14,375.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.