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Finding the Fourth Proportional to 71,352.92, 106,595.43 and 46,187.96

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Solution

The fourth proportional to 71,352.92, 106,595.43 and 46,187.96 is: 69,001.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,352.92 : 106,595.43 = 46,187.96 : x
  2. Step 2: Convert to fraction form
    71,352.92/106,595.43 = 46,187.96/x
  3. Step 3: Cross multiply
    71,352.92x = 106,595.43 × 46,187.96
  4. Step 4: Simplify right side
    71,352.92x = 4,923,425,457.02
  5. Step 5: Solve for x
    x = 4,923,425,457.02/71,352.92
  6. Step 6: Final answer
    x = 69,001.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.