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Finding the Fourth Proportional to 32,671.56, 48,964.14 and 11,875.08

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Solution

The fourth proportional to 32,671.56, 48,964.14 and 11,875.08 is: 17,796.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,671.56 : 48,964.14 = 11,875.08 : x
  2. Step 2: Convert to fraction form
    32,671.56/48,964.14 = 11,875.08/x
  3. Step 3: Cross multiply
    32,671.56x = 48,964.14 × 11,875.08
  4. Step 4: Simplify right side
    32,671.56x = 581,453,079.63
  5. Step 5: Solve for x
    x = 581,453,079.63/32,671.56
  6. Step 6: Final answer
    x = 17,796.92

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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.