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Finding the Fourth Proportional to 34,035.79, 51,058.95 and 10,660

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Solution

The fourth proportional to 34,035.79, 51,058.95 and 10,660 is: 15,991.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,035.79 : 51,058.95 = 10,660 : x
  2. Step 2: Convert to fraction form
    34,035.79/51,058.95 = 10,660/x
  3. Step 3: Cross multiply
    34,035.79x = 51,058.95 × 10,660
  4. Step 4: Simplify right side
    34,035.79x = 544,288,407
  5. Step 5: Solve for x
    x = 544,288,407/34,035.79
  6. Step 6: Final answer
    x = 15,991.65

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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.