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Finding the Fourth Proportional to 83,765.04, 115,602.36 and 47,966.32

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Solution

The fourth proportional to 83,765.04, 115,602.36 and 47,966.32 is: 66,197.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,765.04 : 115,602.36 = 47,966.32 : x
  2. Step 2: Convert to fraction form
    83,765.04/115,602.36 = 47,966.32/x
  3. Step 3: Cross multiply
    83,765.04x = 115,602.36 × 47,966.32
  4. Step 4: Simplify right side
    83,765.04x = 5,545,019,792.52
  5. Step 5: Solve for x
    x = 5,545,019,792.52/83,765.04
  6. Step 6: Final answer
    x = 66,197.30

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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.