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Finding the Fourth Proportional to 76,248, 114,370.38 and 34,118.28

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Solution

The fourth proportional to 76,248, 114,370.38 and 34,118.28 is: 51,176.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,248 : 114,370.38 = 34,118.28 : x
  2. Step 2: Convert to fraction form
    76,248/114,370.38 = 34,118.28/x
  3. Step 3: Cross multiply
    76,248x = 114,370.38 × 34,118.28
  4. Step 4: Simplify right side
    76,248x = 3,902,120,648.55
  5. Step 5: Solve for x
    x = 3,902,120,648.55/76,248
  6. Step 6: Final answer
    x = 51,176.70

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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.