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Finding the Fourth Proportional to 92,032, 138,055.68 and 26,368

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Solution

The fourth proportional to 92,032, 138,055.68 and 26,368 is: 39,554.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,032 : 138,055.68 = 26,368 : x
  2. Step 2: Convert to fraction form
    92,032/138,055.68 = 26,368/x
  3. Step 3: Cross multiply
    92,032x = 138,055.68 × 26,368
  4. Step 4: Simplify right side
    92,032x = 3,640,252,170.24
  5. Step 5: Solve for x
    x = 3,640,252,170.24/92,032
  6. Step 6: Final answer
    x = 39,554.20

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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.