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Finding the Fourth Proportional to 32,642.46, 48,917.88 and 13,897.11

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Solution

The fourth proportional to 32,642.46, 48,917.88 and 13,897.11 is: 20,826.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,642.46 : 48,917.88 = 13,897.11 : x
  2. Step 2: Convert to fraction form
    32,642.46/48,917.88 = 13,897.11/x
  3. Step 3: Cross multiply
    32,642.46x = 48,917.88 × 13,897.11
  4. Step 4: Simplify right side
    32,642.46x = 679,817,159.33
  5. Step 5: Solve for x
    x = 679,817,159.33/32,642.46
  6. Step 6: Final answer
    x = 20,826.16

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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.