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Finding the Fourth Proportional to 105,934.34, 158,794.86 and 46,759.52

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Solution

The fourth proportional to 105,934.34, 158,794.86 and 46,759.52 is: 70,092.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,934.34 : 158,794.86 = 46,759.52 : x
  2. Step 2: Convert to fraction form
    105,934.34/158,794.86 = 46,759.52/x
  3. Step 3: Cross multiply
    105,934.34x = 158,794.86 × 46,759.52
  4. Step 4: Simplify right side
    105,934.34x = 7,425,171,432.07
  5. Step 5: Solve for x
    x = 7,425,171,432.07/105,934.34
  6. Step 6: Final answer
    x = 70,092.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.