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Finding the Fourth Proportional to 43,780, 60,416.48 and 23,908

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Solution

The fourth proportional to 43,780, 60,416.48 and 23,908 is: 32,993.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,780 : 60,416.48 = 23,908 : x
  2. Step 2: Convert to fraction form
    43,780/60,416.48 = 23,908/x
  3. Step 3: Cross multiply
    43,780x = 60,416.48 × 23,908
  4. Step 4: Simplify right side
    43,780x = 1,444,437,203.84
  5. Step 5: Solve for x
    x = 1,444,437,203.84/43,780
  6. Step 6: Final answer
    x = 32,993.08

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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.