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Finding the Fourth Proportional to 32,283.68, 48,426.72 and 8,911.88

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Solution

The fourth proportional to 32,283.68, 48,426.72 and 8,911.88 is: 13,368.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,283.68 : 48,426.72 = 8,911.88 : x
  2. Step 2: Convert to fraction form
    32,283.68/48,426.72 = 8,911.88/x
  3. Step 3: Cross multiply
    32,283.68x = 48,426.72 × 8,911.88
  4. Step 4: Simplify right side
    32,283.68x = 431,573,117.43
  5. Step 5: Solve for x
    x = 431,573,117.43/32,283.68
  6. Step 6: Final answer
    x = 13,368.15

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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.