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Finding the Fourth Proportional to 83,563.80, 115,325.93 and 47,746.87

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Solution

The fourth proportional to 83,563.80, 115,325.93 and 47,746.87 is: 65,895.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,563.80 : 115,325.93 = 47,746.87 : x
  2. Step 2: Convert to fraction form
    83,563.80/115,325.93 = 47,746.87/x
  3. Step 3: Cross multiply
    83,563.80x = 115,325.93 × 47,746.87
  4. Step 4: Simplify right side
    83,563.80x = 5,506,451,749.82
  5. Step 5: Solve for x
    x = 5,506,451,749.82/83,563.80
  6. Step 6: Final answer
    x = 65,895.18

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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.