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Finding the Fourth Proportional to 34,012.34, 50,966.59 and 14,280.20

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Solution

The fourth proportional to 34,012.34, 50,966.59 and 14,280.20 is: 21,398.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,012.34 : 50,966.59 = 14,280.20 : x
  2. Step 2: Convert to fraction form
    34,012.34/50,966.59 = 14,280.20/x
  3. Step 3: Cross multiply
    34,012.34x = 50,966.59 × 14,280.20
  4. Step 4: Simplify right side
    34,012.34x = 727,813,098.52
  5. Step 5: Solve for x
    x = 727,813,098.52/34,012.34
  6. Step 6: Final answer
    x = 21,398.50

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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.