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Finding the Fourth Proportional to 47,854.88, 65,971.30 and 33,663.68

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Solution

The fourth proportional to 47,854.88, 65,971.30 and 33,663.68 is: 46,407.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,854.88 : 65,971.30 = 33,663.68 : x
  2. Step 2: Convert to fraction form
    47,854.88/65,971.30 = 33,663.68/x
  3. Step 3: Cross multiply
    47,854.88x = 65,971.30 × 33,663.68
  4. Step 4: Simplify right side
    47,854.88x = 2,220,836,732.38
  5. Step 5: Solve for x
    x = 2,220,836,732.38/47,854.88
  6. Step 6: Final answer
    x = 46,407.74

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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.