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Finding the Fourth Proportional to 86,509.38, 119,382.75 and 48,783.36

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Solution

The fourth proportional to 86,509.38, 119,382.75 and 48,783.36 is: 67,320.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,509.38 : 119,382.75 = 48,783.36 : x
  2. Step 2: Convert to fraction form
    86,509.38/119,382.75 = 48,783.36/x
  3. Step 3: Cross multiply
    86,509.38x = 119,382.75 × 48,783.36
  4. Step 4: Simplify right side
    86,509.38x = 5,823,891,671.04
  5. Step 5: Solve for x
    x = 5,823,891,671.04/86,509.38
  6. Step 6: Final answer
    x = 67,320.93

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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.