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Finding the Fourth Proportional to 83,898.84, 115,780.32 and 46,175.52

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Solution

The fourth proportional to 83,898.84, 115,780.32 and 46,175.52 is: 63,722.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,898.84 : 115,780.32 = 46,175.52 : x
  2. Step 2: Convert to fraction form
    83,898.84/115,780.32 = 46,175.52/x
  3. Step 3: Cross multiply
    83,898.84x = 115,780.32 × 46,175.52
  4. Step 4: Simplify right side
    83,898.84x = 5,346,216,481.77
  5. Step 5: Solve for x
    x = 5,346,216,481.77/83,898.84
  6. Step 6: Final answer
    x = 63,722.17

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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.