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Finding the Fourth Proportional to 34,376.40, 51,569.40 and 14,654.80

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Solution

The fourth proportional to 34,376.40, 51,569.40 and 14,654.80 is: 21,984.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,376.40 : 51,569.40 = 14,654.80 : x
  2. Step 2: Convert to fraction form
    34,376.40/51,569.40 = 14,654.80/x
  3. Step 3: Cross multiply
    34,376.40x = 51,569.40 × 14,654.80
  4. Step 4: Simplify right side
    34,376.40x = 755,739,243.12
  5. Step 5: Solve for x
    x = 755,739,243.12/34,376.40
  6. Step 6: Final answer
    x = 21,984.25

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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.