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Finding the Fourth Proportional to 73,257.76, 109,931.76 and 28,876.96

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Solution

The fourth proportional to 73,257.76, 109,931.76 and 28,876.96 is: 43,333.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,257.76 : 109,931.76 = 28,876.96 : x
  2. Step 2: Convert to fraction form
    73,257.76/109,931.76 = 28,876.96/x
  3. Step 3: Cross multiply
    73,257.76x = 109,931.76 × 28,876.96
  4. Step 4: Simplify right side
    73,257.76x = 3,174,495,036.25
  5. Step 5: Solve for x
    x = 3,174,495,036.25/73,257.76
  6. Step 6: Final answer
    x = 43,333.23

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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.