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Finding the Fourth Proportional to 31,508.03, 47,478.11 and 26,083.10

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Solution

The fourth proportional to 31,508.03, 47,478.11 and 26,083.10 is: 39,303.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,508.03 : 47,478.11 = 26,083.10 : x
  2. Step 2: Convert to fraction form
    31,508.03/47,478.11 = 26,083.10/x
  3. Step 3: Cross multiply
    31,508.03x = 47,478.11 × 26,083.10
  4. Step 4: Simplify right side
    31,508.03x = 1,238,376,290.94
  5. Step 5: Solve for x
    x = 1,238,376,290.94/31,508.03
  6. Step 6: Final answer
    x = 39,303.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.