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Finding the Fourth Proportional to 37,098.69, 51,182.76 and 22,557.87

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Solution

The fourth proportional to 37,098.69, 51,182.76 and 22,557.87 is: 31,121.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,098.69 : 51,182.76 = 22,557.87 : x
  2. Step 2: Convert to fraction form
    37,098.69/51,182.76 = 22,557.87/x
  3. Step 3: Cross multiply
    37,098.69x = 51,182.76 × 22,557.87
  4. Step 4: Simplify right side
    37,098.69x = 1,154,574,046.32
  5. Step 5: Solve for x
    x = 1,154,574,046.32/37,098.69
  6. Step 6: Final answer
    x = 31,121.69

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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.