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Finding the Fourth Proportional to 34,551.40, 51,827.20 and 9,592.80

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Solution

The fourth proportional to 34,551.40, 51,827.20 and 9,592.80 is: 14,389.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,551.40 : 51,827.20 = 9,592.80 : x
  2. Step 2: Convert to fraction form
    34,551.40/51,827.20 = 9,592.80/x
  3. Step 3: Cross multiply
    34,551.40x = 51,827.20 × 9,592.80
  4. Step 4: Simplify right side
    34,551.40x = 497,167,964.16
  5. Step 5: Solve for x
    x = 497,167,964.16/34,551.40
  6. Step 6: Final answer
    x = 14,389.23

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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.