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Finding the Fourth Proportional to 32,387.94, 48,583.98 and 10,202.04

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Solution

The fourth proportional to 32,387.94, 48,583.98 and 10,202.04 is: 15,303.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,387.94 : 48,583.98 = 10,202.04 : x
  2. Step 2: Convert to fraction form
    32,387.94/48,583.98 = 10,202.04/x
  3. Step 3: Cross multiply
    32,387.94x = 48,583.98 × 10,202.04
  4. Step 4: Simplify right side
    32,387.94x = 495,655,707.32
  5. Step 5: Solve for x
    x = 495,655,707.32/32,387.94
  6. Step 6: Final answer
    x = 15,303.71

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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.