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Finding the Fourth Proportional to 84,377.84, 116,470.71 and 48,582.11

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Solution

The fourth proportional to 84,377.84, 116,470.71 and 48,582.11 is: 67,060.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,377.84 : 116,470.71 = 48,582.11 : x
  2. Step 2: Convert to fraction form
    84,377.84/116,470.71 = 48,582.11/x
  3. Step 3: Cross multiply
    84,377.84x = 116,470.71 × 48,582.11
  4. Step 4: Simplify right side
    84,377.84x = 5,658,392,845.00
  5. Step 5: Solve for x
    x = 5,658,392,845.00/84,377.84
  6. Step 6: Final answer
    x = 67,060.18

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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.