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Finding the Fourth Proportional to 92,506, 138,782.04 and 26,842

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Solution

The fourth proportional to 92,506, 138,782.04 and 26,842 is: 40,269.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,506 : 138,782.04 = 26,842 : x
  2. Step 2: Convert to fraction form
    92,506/138,782.04 = 26,842/x
  3. Step 3: Cross multiply
    92,506x = 138,782.04 × 26,842
  4. Step 4: Simplify right side
    92,506x = 3,725,187,517.68
  5. Step 5: Solve for x
    x = 3,725,187,517.68/92,506
  6. Step 6: Final answer
    x = 40,269.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.