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Finding the Fourth Proportional to 32,232.08, 48,348.16 and 8,862

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Solution

The fourth proportional to 32,232.08, 48,348.16 and 8,862 is: 13,293.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,232.08 : 48,348.16 = 8,862 : x
  2. Step 2: Convert to fraction form
    32,232.08/48,348.16 = 8,862/x
  3. Step 3: Cross multiply
    32,232.08x = 48,348.16 × 8,862
  4. Step 4: Simplify right side
    32,232.08x = 428,461,393.92
  5. Step 5: Solve for x
    x = 428,461,393.92/32,232.08
  6. Step 6: Final answer
    x = 13,293.01

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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.