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Finding the Fourth Proportional to 85,348, 117,780.24 and 47,622.52

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Solution

The fourth proportional to 85,348, 117,780.24 and 47,622.52 is: 65,719.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,348 : 117,780.24 = 47,622.52 : x
  2. Step 2: Convert to fraction form
    85,348/117,780.24 = 47,622.52/x
  3. Step 3: Cross multiply
    85,348x = 117,780.24 × 47,622.52
  4. Step 4: Simplify right side
    85,348x = 5,608,991,835.00
  5. Step 5: Solve for x
    x = 5,608,991,835.00/85,348
  6. Step 6: Final answer
    x = 65,719.08

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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.