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Finding the Fourth Proportional to 92,452, 138,701.04 and 26,788

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Solution

The fourth proportional to 92,452, 138,701.04 and 26,788 is: 40,188.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,452 : 138,701.04 = 26,788 : x
  2. Step 2: Convert to fraction form
    92,452/138,701.04 = 26,788/x
  3. Step 3: Cross multiply
    92,452x = 138,701.04 × 26,788
  4. Step 4: Simplify right side
    92,452x = 3,715,523,459.52
  5. Step 5: Solve for x
    x = 3,715,523,459.52/92,452
  6. Step 6: Final answer
    x = 40,188.68

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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.