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Finding the Fourth Proportional to 92,646, 138,976.68 and 26,982

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Solution

The fourth proportional to 92,646, 138,976.68 and 26,982 is: 40,475.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,646 : 138,976.68 = 26,982 : x
  2. Step 2: Convert to fraction form
    92,646/138,976.68 = 26,982/x
  3. Step 3: Cross multiply
    92,646x = 138,976.68 × 26,982
  4. Step 4: Simplify right side
    92,646x = 3,749,868,779.76
  5. Step 5: Solve for x
    x = 3,749,868,779.76/92,646
  6. Step 6: Final answer
    x = 40,475.24

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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.