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Finding the Fourth Proportional to 58,625.60, 80,903.36 and 34,764

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Solution

The fourth proportional to 58,625.60, 80,903.36 and 34,764 is: 47,974.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,625.60 : 80,903.36 = 34,764 : x
  2. Step 2: Convert to fraction form
    58,625.60/80,903.36 = 34,764/x
  3. Step 3: Cross multiply
    58,625.60x = 80,903.36 × 34,764
  4. Step 4: Simplify right side
    58,625.60x = 2,812,524,407.04
  5. Step 5: Solve for x
    x = 2,812,524,407.04/58,625.60
  6. Step 6: Final answer
    x = 47,974.34

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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.