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Finding the Fourth Proportional to 43,400, 59,892 and 23,528

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Solution

The fourth proportional to 43,400, 59,892 and 23,528 is: 32,468.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,400 : 59,892 = 23,528 : x
  2. Step 2: Convert to fraction form
    43,400/59,892 = 23,528/x
  3. Step 3: Cross multiply
    43,400x = 59,892 × 23,528
  4. Step 4: Simplify right side
    43,400x = 1,409,138,976
  5. Step 5: Solve for x
    x = 1,409,138,976/43,400
  6. Step 6: Final answer
    x = 32,468.64

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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.