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Finding the Fourth Proportional to 109,215.76, 163,794.12 and 46,871.68

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Solution

The fourth proportional to 109,215.76, 163,794.12 and 46,871.68 is: 70,294.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,215.76 : 163,794.12 = 46,871.68 : x
  2. Step 2: Convert to fraction form
    109,215.76/163,794.12 = 46,871.68/x
  3. Step 3: Cross multiply
    109,215.76x = 163,794.12 × 46,871.68
  4. Step 4: Simplify right side
    109,215.76x = 7,677,305,578.52
  5. Step 5: Solve for x
    x = 7,677,305,578.52/109,215.76
  6. Step 6: Final answer
    x = 70,294.85

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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.