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Finding the Fourth Proportional to 50,255, 75,417.06 and 17,423

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Solution

The fourth proportional to 50,255, 75,417.06 and 17,423 is: 26,146.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,255 : 75,417.06 = 17,423 : x
  2. Step 2: Convert to fraction form
    50,255/75,417.06 = 17,423/x
  3. Step 3: Cross multiply
    50,255x = 75,417.06 × 17,423
  4. Step 4: Simplify right side
    50,255x = 1,313,991,436.38
  5. Step 5: Solve for x
    x = 1,313,991,436.38/50,255
  6. Step 6: Final answer
    x = 26,146.48

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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.