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Finding the Fourth Proportional to 83,409.62, 115,106.02 and 47,599.26

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Solution

The fourth proportional to 83,409.62, 115,106.02 and 47,599.26 is: 65,687.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,409.62 : 115,106.02 = 47,599.26 : x
  2. Step 2: Convert to fraction form
    83,409.62/115,106.02 = 47,599.26/x
  3. Step 3: Cross multiply
    83,409.62x = 115,106.02 × 47,599.26
  4. Step 4: Simplify right side
    83,409.62x = 5,478,961,373.55
  5. Step 5: Solve for x
    x = 5,478,961,373.55/83,409.62
  6. Step 6: Final answer
    x = 65,687.40

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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.