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Finding the Fourth Proportional to 65,851.34, 90,895.29 and 37,575.86

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Solution

The fourth proportional to 65,851.34, 90,895.29 and 37,575.86 is: 51,866.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,851.34 : 90,895.29 = 37,575.86 : x
  2. Step 2: Convert to fraction form
    65,851.34/90,895.29 = 37,575.86/x
  3. Step 3: Cross multiply
    65,851.34x = 90,895.29 × 37,575.86
  4. Step 4: Simplify right side
    65,851.34x = 3,415,468,691.70
  5. Step 5: Solve for x
    x = 3,415,468,691.70/65,851.34
  6. Step 6: Final answer
    x = 51,866.35

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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.