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Finding the Fourth Proportional to 58,846, 81,207.60 and 32,350

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Solution

The fourth proportional to 58,846, 81,207.60 and 32,350 is: 44,643.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,846 : 81,207.60 = 32,350 : x
  2. Step 2: Convert to fraction form
    58,846/81,207.60 = 32,350/x
  3. Step 3: Cross multiply
    58,846x = 81,207.60 × 32,350
  4. Step 4: Simplify right side
    58,846x = 2,627,065,860
  5. Step 5: Solve for x
    x = 2,627,065,860/58,846
  6. Step 6: Final answer
    x = 44,643.07

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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.