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Finding the Fourth Proportional to 82,846.10, 124,269.15 and 71,570.90

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Solution

The fourth proportional to 82,846.10, 124,269.15 and 71,570.90 is: 107,356.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,846.10 : 124,269.15 = 71,570.90 : x
  2. Step 2: Convert to fraction form
    82,846.10/124,269.15 = 71,570.90/x
  3. Step 3: Cross multiply
    82,846.10x = 124,269.15 × 71,570.90
  4. Step 4: Simplify right side
    82,846.10x = 8,894,054,907.74
  5. Step 5: Solve for x
    x = 8,894,054,907.74/82,846.10
  6. Step 6: Final answer
    x = 107,356.35

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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.