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Finding the Fourth Proportional to 38,345.70, 52,915.77 and 21,575.46

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Solution

The fourth proportional to 38,345.70, 52,915.77 and 21,575.46 is: 29,773.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,345.70 : 52,915.77 = 21,575.46 : x
  2. Step 2: Convert to fraction form
    38,345.70/52,915.77 = 21,575.46/x
  3. Step 3: Cross multiply
    38,345.70x = 52,915.77 × 21,575.46
  4. Step 4: Simplify right side
    38,345.70x = 1,141,682,079.00
  5. Step 5: Solve for x
    x = 1,141,682,079.00/38,345.70
  6. Step 6: Final answer
    x = 29,773.41

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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.