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Finding the Fourth Proportional to 59,001, 81,421.50 and 32,505

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Solution

The fourth proportional to 59,001, 81,421.50 and 32,505 is: 44,856.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,001 : 81,421.50 = 32,505 : x
  2. Step 2: Convert to fraction form
    59,001/81,421.50 = 32,505/x
  3. Step 3: Cross multiply
    59,001x = 81,421.50 × 32,505
  4. Step 4: Simplify right side
    59,001x = 2,646,605,857.50
  5. Step 5: Solve for x
    x = 2,646,605,857.50/59,001
  6. Step 6: Final answer
    x = 44,856.97

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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.