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Finding the Fourth Proportional to 78,800.52, 108,729.82 and 46,972.38

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Solution

The fourth proportional to 78,800.52, 108,729.82 and 46,972.38 is: 64,813.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,800.52 : 108,729.82 = 46,972.38 : x
  2. Step 2: Convert to fraction form
    78,800.52/108,729.82 = 46,972.38/x
  3. Step 3: Cross multiply
    78,800.52x = 108,729.82 × 46,972.38
  4. Step 4: Simplify right side
    78,800.52x = 5,107,298,422.37
  5. Step 5: Solve for x
    x = 5,107,298,422.37/78,800.52
  6. Step 6: Final answer
    x = 64,813.00

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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.