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Finding the Fourth Proportional to 68,488.16, 102,703.08 and 26,906

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Solution

The fourth proportional to 68,488.16, 102,703.08 and 26,906 is: 40,347.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,488.16 : 102,703.08 = 26,906 : x
  2. Step 2: Convert to fraction form
    68,488.16/102,703.08 = 26,906/x
  3. Step 3: Cross multiply
    68,488.16x = 102,703.08 × 26,906
  4. Step 4: Simplify right side
    68,488.16x = 2,763,329,070.48
  5. Step 5: Solve for x
    x = 2,763,329,070.48/68,488.16
  6. Step 6: Final answer
    x = 40,347.54

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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.