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Finding the Fourth Proportional to 51,878.16, 71,622.39 and 48,888.85

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Solution

The fourth proportional to 51,878.16, 71,622.39 and 48,888.85 is: 67,495.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,878.16 : 71,622.39 = 48,888.85 : x
  2. Step 2: Convert to fraction form
    51,878.16/71,622.39 = 48,888.85/x
  3. Step 3: Cross multiply
    51,878.16x = 71,622.39 × 48,888.85
  4. Step 4: Simplify right side
    51,878.16x = 3,501,536,281.35
  5. Step 5: Solve for x
    x = 3,501,536,281.35/51,878.16
  6. Step 6: Final answer
    x = 67,495.38

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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.