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Finding the Fourth Proportional to 86,471.74, 119,329.41 and 48,746.02

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Solution

The fourth proportional to 86,471.74, 119,329.41 and 48,746.02 is: 67,268.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,471.74 : 119,329.41 = 48,746.02 : x
  2. Step 2: Convert to fraction form
    86,471.74/119,329.41 = 48,746.02/x
  3. Step 3: Cross multiply
    86,471.74x = 119,329.41 × 48,746.02
  4. Step 4: Simplify right side
    86,471.74x = 5,816,833,806.45
  5. Step 5: Solve for x
    x = 5,816,833,806.45/86,471.74
  6. Step 6: Final answer
    x = 67,268.61

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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.