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Finding the Fourth Proportional to 56,675.40, 85,013.10 and 47,927.40

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Solution

The fourth proportional to 56,675.40, 85,013.10 and 47,927.40 is: 71,891.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,675.40 : 85,013.10 = 47,927.40 : x
  2. Step 2: Convert to fraction form
    56,675.40/85,013.10 = 47,927.40/x
  3. Step 3: Cross multiply
    56,675.40x = 85,013.10 × 47,927.40
  4. Step 4: Simplify right side
    56,675.40x = 4,074,456,848.94
  5. Step 5: Solve for x
    x = 4,074,456,848.94/56,675.40
  6. Step 6: Final answer
    x = 71,891.10

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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.