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Finding the Fourth Proportional to 37,870.54, 56,743.03 and 23,034.58

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Solution

The fourth proportional to 37,870.54, 56,743.03 and 23,034.58 is: 34,513.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,870.54 : 56,743.03 = 23,034.58 : x
  2. Step 2: Convert to fraction form
    37,870.54/56,743.03 = 23,034.58/x
  3. Step 3: Cross multiply
    37,870.54x = 56,743.03 × 23,034.58
  4. Step 4: Simplify right side
    37,870.54x = 1,307,051,863.98
  5. Step 5: Solve for x
    x = 1,307,051,863.98/37,870.54
  6. Step 6: Final answer
    x = 34,513.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.