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Finding the Fourth Proportional to 71,122.76, 106,721.40 and 46,156.94

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Solution

The fourth proportional to 71,122.76, 106,721.40 and 46,156.94 is: 69,259.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,122.76 : 106,721.40 = 46,156.94 : x
  2. Step 2: Convert to fraction form
    71,122.76/106,721.40 = 46,156.94/x
  3. Step 3: Cross multiply
    71,122.76x = 106,721.40 × 46,156.94
  4. Step 4: Simplify right side
    71,122.76x = 4,925,933,256.52
  5. Step 5: Solve for x
    x = 4,925,933,256.52/71,122.76
  6. Step 6: Final answer
    x = 69,259.59

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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.