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Finding the Fourth Proportional to 43,216, 59,638.08 and 23,344

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Solution

The fourth proportional to 43,216, 59,638.08 and 23,344 is: 32,214.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,216 : 59,638.08 = 23,344 : x
  2. Step 2: Convert to fraction form
    43,216/59,638.08 = 23,344/x
  3. Step 3: Cross multiply
    43,216x = 59,638.08 × 23,344
  4. Step 4: Simplify right side
    43,216x = 1,392,191,339.52
  5. Step 5: Solve for x
    x = 1,392,191,339.52/43,216
  6. Step 6: Final answer
    x = 32,214.72

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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.