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Finding the Fourth Proportional to 83,597.73, 115,364.85 and 47,788.51

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Solution

The fourth proportional to 83,597.73, 115,364.85 and 47,788.51 is: 65,948.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,597.73 : 115,364.85 = 47,788.51 : x
  2. Step 2: Convert to fraction form
    83,597.73/115,364.85 = 47,788.51/x
  3. Step 3: Cross multiply
    83,597.73x = 115,364.85 × 47,788.51
  4. Step 4: Simplify right side
    83,597.73x = 5,513,114,287.87
  5. Step 5: Solve for x
    x = 5,513,114,287.87/83,597.73
  6. Step 6: Final answer
    x = 65,948.13

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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.