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Finding the Fourth Proportional to 40,500, 55,895.40 and 23,733

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Solution

The fourth proportional to 40,500, 55,895.40 and 23,733 is: 32,754.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,500 : 55,895.40 = 23,733 : x
  2. Step 2: Convert to fraction form
    40,500/55,895.40 = 23,733/x
  3. Step 3: Cross multiply
    40,500x = 55,895.40 × 23,733
  4. Step 4: Simplify right side
    40,500x = 1,326,565,528.20
  5. Step 5: Solve for x
    x = 1,326,565,528.20/40,500
  6. Step 6: Final answer
    x = 32,754.70

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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.