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Finding the Fourth Proportional to 92,471.56, 138,706.62 and 48,075.40

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Solution

The fourth proportional to 92,471.56, 138,706.62 and 48,075.40 is: 72,112.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,471.56 : 138,706.62 = 48,075.40 : x
  2. Step 2: Convert to fraction form
    92,471.56/138,706.62 = 48,075.40/x
  3. Step 3: Cross multiply
    92,471.56x = 138,706.62 × 48,075.40
  4. Step 4: Simplify right side
    92,471.56x = 6,668,376,239.15
  5. Step 5: Solve for x
    x = 6,668,376,239.15/92,471.56
  6. Step 6: Final answer
    x = 72,112.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.