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Finding the Fourth Proportional to 76,034.32, 114,057.86 and 28,016

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Solution

The fourth proportional to 76,034.32, 114,057.86 and 28,016 is: 42,026.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,034.32 : 114,057.86 = 28,016 : x
  2. Step 2: Convert to fraction form
    76,034.32/114,057.86 = 28,016/x
  3. Step 3: Cross multiply
    76,034.32x = 114,057.86 × 28,016
  4. Step 4: Simplify right side
    76,034.32x = 3,195,445,005.76
  5. Step 5: Solve for x
    x = 3,195,445,005.76/76,034.32
  6. Step 6: Final answer
    x = 42,026.35

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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.