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Finding the Fourth Proportional to 34,758.67, 52,207.80 and 20,746.06

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Solution

The fourth proportional to 34,758.67, 52,207.80 and 20,746.06 is: 31,160.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,758.67 : 52,207.80 = 20,746.06 : x
  2. Step 2: Convert to fraction form
    34,758.67/52,207.80 = 20,746.06/x
  3. Step 3: Cross multiply
    34,758.67x = 52,207.80 × 20,746.06
  4. Step 4: Simplify right side
    34,758.67x = 1,083,106,151.27
  5. Step 5: Solve for x
    x = 1,083,106,151.27/34,758.67
  6. Step 6: Final answer
    x = 31,160.75

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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.