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Finding the Fourth Proportional to 74,977.92, 112,397.76 and 38,033.28

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Solution

The fourth proportional to 74,977.92, 112,397.76 and 38,033.28 is: 57,014.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,977.92 : 112,397.76 = 38,033.28 : x
  2. Step 2: Convert to fraction form
    74,977.92/112,397.76 = 38,033.28/x
  3. Step 3: Cross multiply
    74,977.92x = 112,397.76 × 38,033.28
  4. Step 4: Simplify right side
    74,977.92x = 4,274,855,477.45
  5. Step 5: Solve for x
    x = 4,274,855,477.45/74,977.92
  6. Step 6: Final answer
    x = 57,014.86

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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.