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Finding the Fourth Proportional to 47,808.96, 65,974.32 and 26,587.68

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Solution

The fourth proportional to 47,808.96, 65,974.32 and 26,587.68 is: 36,689.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,808.96 : 65,974.32 = 26,587.68 : x
  2. Step 2: Convert to fraction form
    47,808.96/65,974.32 = 26,587.68/x
  3. Step 3: Cross multiply
    47,808.96x = 65,974.32 × 26,587.68
  4. Step 4: Simplify right side
    47,808.96x = 1,754,104,108.38
  5. Step 5: Solve for x
    x = 1,754,104,108.38/47,808.96
  6. Step 6: Final answer
    x = 36,689.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.