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Finding the Fourth Proportional to 38,471.95, 53,100.15 and 22,561.53

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Solution

The fourth proportional to 38,471.95, 53,100.15 and 22,561.53 is: 31,140.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,471.95 : 53,100.15 = 22,561.53 : x
  2. Step 2: Convert to fraction form
    38,471.95/53,100.15 = 22,561.53/x
  3. Step 3: Cross multiply
    38,471.95x = 53,100.15 × 22,561.53
  4. Step 4: Simplify right side
    38,471.95x = 1,198,020,627.23
  5. Step 5: Solve for x
    x = 1,198,020,627.23/38,471.95
  6. Step 6: Final answer
    x = 31,140.11

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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.