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Finding the Fourth Proportional to 86,509.90, 119,363.24 and 48,776.86

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Solution

The fourth proportional to 86,509.90, 119,363.24 and 48,776.86 is: 67,300.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,509.90 : 119,363.24 = 48,776.86 : x
  2. Step 2: Convert to fraction form
    86,509.90/119,363.24 = 48,776.86/x
  3. Step 3: Cross multiply
    86,509.90x = 119,363.24 × 48,776.86
  4. Step 4: Simplify right side
    86,509.90x = 5,822,164,046.63
  5. Step 5: Solve for x
    x = 5,822,164,046.63/86,509.90
  6. Step 6: Final answer
    x = 67,300.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.