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Finding the Fourth Proportional to 47,101.48, 70,652.22 and 20,833

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Solution

The fourth proportional to 47,101.48, 70,652.22 and 20,833 is: 31,249.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,101.48 : 70,652.22 = 20,833 : x
  2. Step 2: Convert to fraction form
    47,101.48/70,652.22 = 20,833/x
  3. Step 3: Cross multiply
    47,101.48x = 70,652.22 × 20,833
  4. Step 4: Simplify right side
    47,101.48x = 1,471,897,699.26
  5. Step 5: Solve for x
    x = 1,471,897,699.26/47,101.48
  6. Step 6: Final answer
    x = 31,249.50

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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.