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Finding the Fourth Proportional to 32,854.17, 49,306.77 and 13,134.72

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Solution

The fourth proportional to 32,854.17, 49,306.77 and 13,134.72 is: 19,712.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,854.17 : 49,306.77 = 13,134.72 : x
  2. Step 2: Convert to fraction form
    32,854.17/49,306.77 = 13,134.72/x
  3. Step 3: Cross multiply
    32,854.17x = 49,306.77 × 13,134.72
  4. Step 4: Simplify right side
    32,854.17x = 647,630,618.05
  5. Step 5: Solve for x
    x = 647,630,618.05/32,854.17
  6. Step 6: Final answer
    x = 19,712.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.