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Finding the Fourth Proportional to 83,749, 115,573.68 and 46,023.52

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Solution

The fourth proportional to 83,749, 115,573.68 and 46,023.52 is: 63,512.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,749 : 115,573.68 = 46,023.52 : x
  2. Step 2: Convert to fraction form
    83,749/115,573.68 = 46,023.52/x
  3. Step 3: Cross multiply
    83,749x = 115,573.68 × 46,023.52
  4. Step 4: Simplify right side
    83,749x = 5,319,107,572.95
  5. Step 5: Solve for x
    x = 5,319,107,572.95/83,749
  6. Step 6: Final answer
    x = 63,512.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.