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Finding the Fourth Proportional to 49,302.90, 73,966.78 and 13,764.19

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Solution

The fourth proportional to 49,302.90, 73,966.78 and 13,764.19 is: 20,649.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,302.90 : 73,966.78 = 13,764.19 : x
  2. Step 2: Convert to fraction form
    49,302.90/73,966.78 = 13,764.19/x
  3. Step 3: Cross multiply
    49,302.90x = 73,966.78 × 13,764.19
  4. Step 4: Simplify right side
    49,302.90x = 1,018,092,595.91
  5. Step 5: Solve for x
    x = 1,018,092,595.91/49,302.90
  6. Step 6: Final answer
    x = 20,649.75

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