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Finding the Fourth Proportional to 47,649, 65,755.93 and 26,428.32

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Solution

The fourth proportional to 47,649, 65,755.93 and 26,428.32 is: 36,471.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,649 : 65,755.93 = 26,428.32 : x
  2. Step 2: Convert to fraction form
    47,649/65,755.93 = 26,428.32/x
  3. Step 3: Cross multiply
    47,649x = 65,755.93 × 26,428.32
  4. Step 4: Simplify right side
    47,649x = 1,737,818,693.87
  5. Step 5: Solve for x
    x = 1,737,818,693.87/47,649
  6. Step 6: Final answer
    x = 36,471.25

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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.