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Finding the Fourth Proportional to 83,595.56, 115,368.16 and 47,787.08

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Solution

The fourth proportional to 83,595.56, 115,368.16 and 47,787.08 is: 65,949.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,595.56 : 115,368.16 = 47,787.08 : x
  2. Step 2: Convert to fraction form
    83,595.56/115,368.16 = 47,787.08/x
  3. Step 3: Cross multiply
    83,595.56x = 115,368.16 × 47,787.08
  4. Step 4: Simplify right side
    83,595.56x = 5,513,107,491.37
  5. Step 5: Solve for x
    x = 5,513,107,491.37/83,595.56
  6. Step 6: Final answer
    x = 65,949.76

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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.