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Finding the Fourth Proportional to 37,866.96, 56,894.40 and 24,548.40

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Solution

The fourth proportional to 37,866.96, 56,894.40 and 24,548.40 is: 36,883.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,866.96 : 56,894.40 = 24,548.40 : x
  2. Step 2: Convert to fraction form
    37,866.96/56,894.40 = 24,548.40/x
  3. Step 3: Cross multiply
    37,866.96x = 56,894.40 × 24,548.40
  4. Step 4: Simplify right side
    37,866.96x = 1,396,666,488.96
  5. Step 5: Solve for x
    x = 1,396,666,488.96/37,866.96
  6. Step 6: Final answer
    x = 36,883.51

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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.