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Finding the Fourth Proportional to 34,187.76, 51,275.12 and 14,480.17

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Solution

The fourth proportional to 34,187.76, 51,275.12 and 14,480.17 is: 21,717.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,187.76 : 51,275.12 = 14,480.17 : x
  2. Step 2: Convert to fraction form
    34,187.76/51,275.12 = 14,480.17/x
  3. Step 3: Cross multiply
    34,187.76x = 51,275.12 × 14,480.17
  4. Step 4: Simplify right side
    34,187.76x = 742,472,253.78
  5. Step 5: Solve for x
    x = 742,472,253.78/34,187.76
  6. Step 6: Final answer
    x = 21,717.49

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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.