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Finding the Fourth Proportional to 32,407.58, 48,573.15 and 14,617.41

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Solution

The fourth proportional to 32,407.58, 48,573.15 and 14,617.41 is: 21,908.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,407.58 : 48,573.15 = 14,617.41 : x
  2. Step 2: Convert to fraction form
    32,407.58/48,573.15 = 14,617.41/x
  3. Step 3: Cross multiply
    32,407.58x = 48,573.15 × 14,617.41
  4. Step 4: Simplify right side
    32,407.58x = 710,013,648.54
  5. Step 5: Solve for x
    x = 710,013,648.54/32,407.58
  6. Step 6: Final answer
    x = 21,908.88

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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.