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Finding the Fourth Proportional to 38,470.95, 53,098.77 and 22,560.53

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Solution

The fourth proportional to 38,470.95, 53,098.77 and 22,560.53 is: 31,138.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,470.95 : 53,098.77 = 22,560.53 : x
  2. Step 2: Convert to fraction form
    38,470.95/53,098.77 = 22,560.53/x
  3. Step 3: Cross multiply
    38,470.95x = 53,098.77 × 22,560.53
  4. Step 4: Simplify right side
    38,470.95x = 1,197,936,015.25
  5. Step 5: Solve for x
    x = 1,197,936,015.25/38,470.95
  6. Step 6: Final answer
    x = 31,138.72

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