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Finding the Fourth Proportional to 51,101, 70,508.76 and 29,876.16

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Solution

The fourth proportional to 51,101, 70,508.76 and 29,876.16 is: 41,222.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,101 : 70,508.76 = 29,876.16 : x
  2. Step 2: Convert to fraction form
    51,101/70,508.76 = 29,876.16/x
  3. Step 3: Cross multiply
    51,101x = 70,508.76 × 29,876.16
  4. Step 4: Simplify right side
    51,101x = 2,106,530,995.16
  5. Step 5: Solve for x
    x = 2,106,530,995.16/51,101
  6. Step 6: Final answer
    x = 41,222.89

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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.