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Finding the Fourth Proportional to 86,727.11, 119,649.66 and 54,448.00

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Solution

The fourth proportional to 86,727.11, 119,649.66 and 54,448.00 is: 75,117.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,727.11 : 119,649.66 = 54,448.00 : x
  2. Step 2: Convert to fraction form
    86,727.11/119,649.66 = 54,448.00/x
  3. Step 3: Cross multiply
    86,727.11x = 119,649.66 × 54,448.00
  4. Step 4: Simplify right side
    86,727.11x = 6,514,684,184.38
  5. Step 5: Solve for x
    x = 6,514,684,184.38/86,727.11
  6. Step 6: Final answer
    x = 75,117.05

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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.