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Finding the Fourth Proportional to 58,856.64, 81,223.75 and 32,001

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Solution

The fourth proportional to 58,856.64, 81,223.75 and 32,001 is: 44,162.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,856.64 : 81,223.75 = 32,001 : x
  2. Step 2: Convert to fraction form
    58,856.64/81,223.75 = 32,001/x
  3. Step 3: Cross multiply
    58,856.64x = 81,223.75 × 32,001
  4. Step 4: Simplify right side
    58,856.64x = 2,599,241,223.75
  5. Step 5: Solve for x
    x = 2,599,241,223.75/58,856.64
  6. Step 6: Final answer
    x = 44,162.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.