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Finding the Fourth Proportional to 32,873.68, 49,317 and 9,500.32

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Solution

The fourth proportional to 32,873.68, 49,317 and 9,500.32 is: 14,252.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,873.68 : 49,317 = 9,500.32 : x
  2. Step 2: Convert to fraction form
    32,873.68/49,317 = 9,500.32/x
  3. Step 3: Cross multiply
    32,873.68x = 49,317 × 9,500.32
  4. Step 4: Simplify right side
    32,873.68x = 468,527,281.44
  5. Step 5: Solve for x
    x = 468,527,281.44/32,873.68
  6. Step 6: Final answer
    x = 14,252.35

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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.