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Finding the Fourth Proportional to 83,597.23, 115,364.16 and 47,788.01

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Solution

The fourth proportional to 83,597.23, 115,364.16 and 47,788.01 is: 65,947.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,597.23 : 115,364.16 = 47,788.01 : x
  2. Step 2: Convert to fraction form
    83,597.23/115,364.16 = 47,788.01/x
  3. Step 3: Cross multiply
    83,597.23x = 115,364.16 × 47,788.01
  4. Step 4: Simplify right side
    83,597.23x = 5,513,023,631.72
  5. Step 5: Solve for x
    x = 5,513,023,631.72/83,597.23
  6. Step 6: Final answer
    x = 65,947.44

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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.