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Finding the Fourth Proportional to 83,412.49, 115,109.30 and 45,172.34

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Solution

The fourth proportional to 83,412.49, 115,109.30 and 45,172.34 is: 62,337.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,412.49 : 115,109.30 = 45,172.34 : x
  2. Step 2: Convert to fraction form
    83,412.49/115,109.30 = 45,172.34/x
  3. Step 3: Cross multiply
    83,412.49x = 115,109.30 × 45,172.34
  4. Step 4: Simplify right side
    83,412.49x = 5,199,756,436.76
  5. Step 5: Solve for x
    x = 5,199,756,436.76/83,412.49
  6. Step 6: Final answer
    x = 62,337.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.