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Finding the Fourth Proportional to 43,275, 59,719.68 and 23,403

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Solution

The fourth proportional to 43,275, 59,719.68 and 23,403 is: 32,296.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,275 : 59,719.68 = 23,403 : x
  2. Step 2: Convert to fraction form
    43,275/59,719.68 = 23,403/x
  3. Step 3: Cross multiply
    43,275x = 59,719.68 × 23,403
  4. Step 4: Simplify right side
    43,275x = 1,397,619,671.04
  5. Step 5: Solve for x
    x = 1,397,619,671.04/43,275
  6. Step 6: Final answer
    x = 32,296.24

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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.