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Finding the Fourth Proportional to 32,064.97, 47,862.64 and 28,277.44

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Solution

The fourth proportional to 32,064.97, 47,862.64 and 28,277.44 is: 42,209.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,064.97 : 47,862.64 = 28,277.44 : x
  2. Step 2: Convert to fraction form
    32,064.97/47,862.64 = 28,277.44/x
  3. Step 3: Cross multiply
    32,064.97x = 47,862.64 × 28,277.44
  4. Step 4: Simplify right side
    32,064.97x = 1,353,432,620.83
  5. Step 5: Solve for x
    x = 1,353,432,620.83/32,064.97
  6. Step 6: Final answer
    x = 42,209.08

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.