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Finding the Fourth Proportional to 77,285.90, 115,929.12 and 27,366.02

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Solution

The fourth proportional to 77,285.90, 115,929.12 and 27,366.02 is: 41,049.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,285.90 : 115,929.12 = 27,366.02 : x
  2. Step 2: Convert to fraction form
    77,285.90/115,929.12 = 27,366.02/x
  3. Step 3: Cross multiply
    77,285.90x = 115,929.12 × 27,366.02
  4. Step 4: Simplify right side
    77,285.90x = 3,172,518,616.50
  5. Step 5: Solve for x
    x = 3,172,518,616.50/77,285.90
  6. Step 6: Final answer
    x = 41,049.13

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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.