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Finding the Fourth Proportional to 32,167.78, 44,391.65 and 17,827.85

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Solution

The fourth proportional to 32,167.78, 44,391.65 and 17,827.85 is: 24,602.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,167.78 : 44,391.65 = 17,827.85 : x
  2. Step 2: Convert to fraction form
    32,167.78/44,391.65 = 17,827.85/x
  3. Step 3: Cross multiply
    32,167.78x = 44,391.65 × 17,827.85
  4. Step 4: Simplify right side
    32,167.78x = 791,407,677.45
  5. Step 5: Solve for x
    x = 791,407,677.45/32,167.78
  6. Step 6: Final answer
    x = 24,602.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.