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Finding the Fourth Proportional to 32,594.66, 48,854.71 and 13,847.21

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Solution

The fourth proportional to 32,594.66, 48,854.71 and 13,847.21 is: 20,754.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,594.66 : 48,854.71 = 13,847.21 : x
  2. Step 2: Convert to fraction form
    32,594.66/48,854.71 = 13,847.21/x
  3. Step 3: Cross multiply
    32,594.66x = 48,854.71 × 13,847.21
  4. Step 4: Simplify right side
    32,594.66x = 676,501,428.86
  5. Step 5: Solve for x
    x = 676,501,428.86/32,594.66
  6. Step 6: Final answer
    x = 20,754.98

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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.