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Finding the Fourth Proportional to 83,406.81, 115,100.10 and 47,595.90

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Solution

The fourth proportional to 83,406.81, 115,100.10 and 47,595.90 is: 65,681.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,406.81 : 115,100.10 = 47,595.90 : x
  2. Step 2: Convert to fraction form
    83,406.81/115,100.10 = 47,595.90/x
  3. Step 3: Cross multiply
    83,406.81x = 115,100.10 × 47,595.90
  4. Step 4: Simplify right side
    83,406.81x = 5,478,292,849.59
  5. Step 5: Solve for x
    x = 5,478,292,849.59/83,406.81
  6. Step 6: Final answer
    x = 65,681.60

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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.