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Finding the Fourth Proportional to 47,748, 65,909.88 and 41,006.48

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Solution

The fourth proportional to 47,748, 65,909.88 and 41,006.48 is: 56,604.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,748 : 65,909.88 = 41,006.48 : x
  2. Step 2: Convert to fraction form
    47,748/65,909.88 = 41,006.48/x
  3. Step 3: Cross multiply
    47,748x = 65,909.88 × 41,006.48
  4. Step 4: Simplify right side
    47,748x = 2,702,732,176.02
  5. Step 5: Solve for x
    x = 2,702,732,176.02/47,748
  6. Step 6: Final answer
    x = 56,604.09

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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.