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Finding the Fourth Proportional to 37,543.47, 51,804.87 and 22,432.93

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Solution

The fourth proportional to 37,543.47, 51,804.87 and 22,432.93 is: 30,954.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,543.47 : 51,804.87 = 22,432.93 : x
  2. Step 2: Convert to fraction form
    37,543.47/51,804.87 = 22,432.93/x
  3. Step 3: Cross multiply
    37,543.47x = 51,804.87 × 22,432.93
  4. Step 4: Simplify right side
    37,543.47x = 1,162,134,910.20
  5. Step 5: Solve for x
    x = 1,162,134,910.20/37,543.47
  6. Step 6: Final answer
    x = 30,954.39

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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.