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Finding the Fourth Proportional to 34,086, 51,160.02 and 17,457.48

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Solution

The fourth proportional to 34,086, 51,160.02 and 17,457.48 is: 26,202.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,086 : 51,160.02 = 17,457.48 : x
  2. Step 2: Convert to fraction form
    34,086/51,160.02 = 17,457.48/x
  3. Step 3: Cross multiply
    34,086x = 51,160.02 × 17,457.48
  4. Step 4: Simplify right side
    34,086x = 893,125,025.95
  5. Step 5: Solve for x
    x = 893,125,025.95/34,086
  6. Step 6: Final answer
    x = 26,202.11

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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.