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Finding the Fourth Proportional to 47,938, 66,157.32 and 26,427.70

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Solution

The fourth proportional to 47,938, 66,157.32 and 26,427.70 is: 36,471.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,938 : 66,157.32 = 26,427.70 : x
  2. Step 2: Convert to fraction form
    47,938/66,157.32 = 26,427.70/x
  3. Step 3: Cross multiply
    47,938x = 66,157.32 × 26,427.70
  4. Step 4: Simplify right side
    47,938x = 1,748,385,805.76
  5. Step 5: Solve for x
    x = 1,748,385,805.76/47,938
  6. Step 6: Final answer
    x = 36,471.81

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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.