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Finding the Fourth Proportional to 50,598, 75,845.16 and 21,033

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Solution

The fourth proportional to 50,598, 75,845.16 and 21,033 is: 31,527.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,598 : 75,845.16 = 21,033 : x
  2. Step 2: Convert to fraction form
    50,598/75,845.16 = 21,033/x
  3. Step 3: Cross multiply
    50,598x = 75,845.16 × 21,033
  4. Step 4: Simplify right side
    50,598x = 1,595,251,250.28
  5. Step 5: Solve for x
    x = 1,595,251,250.28/50,598
  6. Step 6: Final answer
    x = 31,527.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.