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Finding the Fourth Proportional to 37,641.96, 51,897.30 and 24,189.48

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Solution

The fourth proportional to 37,641.96, 51,897.30 and 24,189.48 is: 33,350.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,641.96 : 51,897.30 = 24,189.48 : x
  2. Step 2: Convert to fraction form
    37,641.96/51,897.30 = 24,189.48/x
  3. Step 3: Cross multiply
    37,641.96x = 51,897.30 × 24,189.48
  4. Step 4: Simplify right side
    37,641.96x = 1,255,368,700.40
  5. Step 5: Solve for x
    x = 1,255,368,700.40/37,641.96
  6. Step 6: Final answer
    x = 33,350.25

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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.