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Finding the Fourth Proportional to 92,577.40, 138,873.36 and 26,023

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Solution

The fourth proportional to 92,577.40, 138,873.36 and 26,023 is: 39,036.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,577.40 : 138,873.36 = 26,023 : x
  2. Step 2: Convert to fraction form
    92,577.40/138,873.36 = 26,023/x
  3. Step 3: Cross multiply
    92,577.40x = 138,873.36 × 26,023
  4. Step 4: Simplify right side
    92,577.40x = 3,613,901,447.28
  5. Step 5: Solve for x
    x = 3,613,901,447.28/92,577.40
  6. Step 6: Final answer
    x = 39,036.54

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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.