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Finding the Fourth Proportional to 32,080.68, 48,125.52 and 9,895.84

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Solution

The fourth proportional to 32,080.68, 48,125.52 and 9,895.84 is: 14,845.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,080.68 : 48,125.52 = 9,895.84 : x
  2. Step 2: Convert to fraction form
    32,080.68/48,125.52 = 9,895.84/x
  3. Step 3: Cross multiply
    32,080.68x = 48,125.52 × 9,895.84
  4. Step 4: Simplify right side
    32,080.68x = 476,242,445.84
  5. Step 5: Solve for x
    x = 476,242,445.84/32,080.68
  6. Step 6: Final answer
    x = 14,845.15

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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.