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Finding the Fourth Proportional to 47,600.82, 65,689.13 and 26,381.45

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Solution

The fourth proportional to 47,600.82, 65,689.13 and 26,381.45 is: 36,406.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,600.82 : 65,689.13 = 26,381.45 : x
  2. Step 2: Convert to fraction form
    47,600.82/65,689.13 = 26,381.45/x
  3. Step 3: Cross multiply
    47,600.82x = 65,689.13 × 26,381.45
  4. Step 4: Simplify right side
    47,600.82x = 1,732,974,038.29
  5. Step 5: Solve for x
    x = 1,732,974,038.29/47,600.82
  6. Step 6: Final answer
    x = 36,406.39

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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.