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Finding the Fourth Proportional to 51,883, 77,699.80 and 29,629

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Solution

The fourth proportional to 51,883, 77,699.80 and 29,629 is: 44,372.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,883 : 77,699.80 = 29,629 : x
  2. Step 2: Convert to fraction form
    51,883/77,699.80 = 29,629/x
  3. Step 3: Cross multiply
    51,883x = 77,699.80 × 29,629
  4. Step 4: Simplify right side
    51,883x = 2,302,167,374.20
  5. Step 5: Solve for x
    x = 2,302,167,374.20/51,883
  6. Step 6: Final answer
    x = 44,372.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.