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Finding the Fourth Proportional to 47,494.68, 71,226.42 and 17,502

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Solution

The fourth proportional to 47,494.68, 71,226.42 and 17,502 is: 26,247.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,494.68 : 71,226.42 = 17,502 : x
  2. Step 2: Convert to fraction form
    47,494.68/71,226.42 = 17,502/x
  3. Step 3: Cross multiply
    47,494.68x = 71,226.42 × 17,502
  4. Step 4: Simplify right side
    47,494.68x = 1,246,604,802.84
  5. Step 5: Solve for x
    x = 1,246,604,802.84/47,494.68
  6. Step 6: Final answer
    x = 26,247.25

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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.