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Finding the Fourth Proportional to 83,340.33, 114,981.05 and 47,504.49

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Solution

The fourth proportional to 83,340.33, 114,981.05 and 47,504.49 is: 65,539.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,340.33 : 114,981.05 = 47,504.49 : x
  2. Step 2: Convert to fraction form
    83,340.33/114,981.05 = 47,504.49/x
  3. Step 3: Cross multiply
    83,340.33x = 114,981.05 × 47,504.49
  4. Step 4: Simplify right side
    83,340.33x = 5,462,115,683.77
  5. Step 5: Solve for x
    x = 5,462,115,683.77/83,340.33
  6. Step 6: Final answer
    x = 65,539.89

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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.