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Finding the Fourth Proportional to 77,925.52, 116,876.76 and 28,666

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Solution

The fourth proportional to 77,925.52, 116,876.76 and 28,666 is: 42,994.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,925.52 : 116,876.76 = 28,666 : x
  2. Step 2: Convert to fraction form
    77,925.52/116,876.76 = 28,666/x
  3. Step 3: Cross multiply
    77,925.52x = 116,876.76 × 28,666
  4. Step 4: Simplify right side
    77,925.52x = 3,350,389,202.16
  5. Step 5: Solve for x
    x = 3,350,389,202.16/77,925.52
  6. Step 6: Final answer
    x = 42,994.76

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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.