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Finding the Fourth Proportional to 34,524.61, 51,788.06 and 9,564.91

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Solution

The fourth proportional to 34,524.61, 51,788.06 and 9,564.91 is: 14,347.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,524.61 : 51,788.06 = 9,564.91 : x
  2. Step 2: Convert to fraction form
    34,524.61/51,788.06 = 9,564.91/x
  3. Step 3: Cross multiply
    34,524.61x = 51,788.06 × 9,564.91
  4. Step 4: Simplify right side
    34,524.61x = 495,348,132.97
  5. Step 5: Solve for x
    x = 495,348,132.97/34,524.61
  6. Step 6: Final answer
    x = 14,347.68

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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.