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Finding the Fourth Proportional to 48,897.40, 73,412.10 and 31,401.40

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Solution

The fourth proportional to 48,897.40, 73,412.10 and 31,401.40 is: 47,144.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,897.40 : 73,412.10 = 31,401.40 : x
  2. Step 2: Convert to fraction form
    48,897.40/73,412.10 = 31,401.40/x
  3. Step 3: Cross multiply
    48,897.40x = 73,412.10 × 31,401.40
  4. Step 4: Simplify right side
    48,897.40x = 2,305,242,716.94
  5. Step 5: Solve for x
    x = 2,305,242,716.94/48,897.40
  6. Step 6: Final answer
    x = 47,144.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.