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Finding the Fourth Proportional to 52,862.85, 72,945.63 and 31,641.66

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Solution

The fourth proportional to 52,862.85, 72,945.63 and 31,641.66 is: 43,662.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,862.85 : 72,945.63 = 31,641.66 : x
  2. Step 2: Convert to fraction form
    52,862.85/72,945.63 = 31,641.66/x
  3. Step 3: Cross multiply
    52,862.85x = 72,945.63 × 31,641.66
  4. Step 4: Simplify right side
    52,862.85x = 2,308,120,822.95
  5. Step 5: Solve for x
    x = 2,308,120,822.95/52,862.85
  6. Step 6: Final answer
    x = 43,662.44

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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.