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Finding the Fourth Proportional to 83,934.28, 115,829.74 and 46,208.52

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Solution

The fourth proportional to 83,934.28, 115,829.74 and 46,208.52 is: 63,768.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,934.28 : 115,829.74 = 46,208.52 : x
  2. Step 2: Convert to fraction form
    83,934.28/115,829.74 = 46,208.52/x
  3. Step 3: Cross multiply
    83,934.28x = 115,829.74 × 46,208.52
  4. Step 4: Simplify right side
    83,934.28x = 5,352,320,857.38
  5. Step 5: Solve for x
    x = 5,352,320,857.38/83,934.28
  6. Step 6: Final answer
    x = 63,768.00

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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.