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Finding the Fourth Proportional to 47,854, 66,035.82 and 26,343.28

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Solution

The fourth proportional to 47,854, 66,035.82 and 26,343.28 is: 36,352.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,854 : 66,035.82 = 26,343.28 : x
  2. Step 2: Convert to fraction form
    47,854/66,035.82 = 26,343.28/x
  3. Step 3: Cross multiply
    47,854x = 66,035.82 × 26,343.28
  4. Step 4: Simplify right side
    47,854x = 1,739,600,096.29
  5. Step 5: Solve for x
    x = 1,739,600,096.29/47,854
  6. Step 6: Final answer
    x = 36,352.24

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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.