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Finding the Fourth Proportional to 83,802.23, 125,703.01 and 33,881.72

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Solution

The fourth proportional to 83,802.23, 125,703.01 and 33,881.72 is: 50,822.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,802.23 : 125,703.01 = 33,881.72 : x
  2. Step 2: Convert to fraction form
    83,802.23/125,703.01 = 33,881.72/x
  3. Step 3: Cross multiply
    83,802.23x = 125,703.01 × 33,881.72
  4. Step 4: Simplify right side
    83,802.23x = 4,259,034,018.57
  5. Step 5: Solve for x
    x = 4,259,034,018.57/83,802.23
  6. Step 6: Final answer
    x = 50,822.45

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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.