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Finding the Fourth Proportional to 47,773.56, 65,929.56 and 26,553

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Solution

The fourth proportional to 47,773.56, 65,929.56 and 26,553 is: 36,644.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,773.56 : 65,929.56 = 26,553 : x
  2. Step 2: Convert to fraction form
    47,773.56/65,929.56 = 26,553/x
  3. Step 3: Cross multiply
    47,773.56x = 65,929.56 × 26,553
  4. Step 4: Simplify right side
    47,773.56x = 1,750,627,606.68
  5. Step 5: Solve for x
    x = 1,750,627,606.68/47,773.56
  6. Step 6: Final answer
    x = 36,644.28

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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.