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Finding the Fourth Proportional to 52,211.34, 72,026.28 and 30,975.57

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Solution

The fourth proportional to 52,211.34, 72,026.28 and 30,975.57 is: 42,731.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,211.34 : 72,026.28 = 30,975.57 : x
  2. Step 2: Convert to fraction form
    52,211.34/72,026.28 = 30,975.57/x
  3. Step 3: Cross multiply
    52,211.34x = 72,026.28 × 30,975.57
  4. Step 4: Simplify right side
    52,211.34x = 2,231,055,077.98
  5. Step 5: Solve for x
    x = 2,231,055,077.98/52,211.34
  6. Step 6: Final answer
    x = 42,731.24

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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.