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Finding the Fourth Proportional to 52,156.26, 71,948.98 and 33,003.81

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Solution

The fourth proportional to 52,156.26, 71,948.98 and 33,003.81 is: 45,528.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,156.26 : 71,948.98 = 33,003.81 : x
  2. Step 2: Convert to fraction form
    52,156.26/71,948.98 = 33,003.81/x
  3. Step 3: Cross multiply
    52,156.26x = 71,948.98 × 33,003.81
  4. Step 4: Simplify right side
    52,156.26x = 2,374,590,465.61
  5. Step 5: Solve for x
    x = 2,374,590,465.61/52,156.26
  6. Step 6: Final answer
    x = 45,528.39

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Why These Related Problems?

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