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Finding the Fourth Proportional to 45,233, 62,421.54 and 27,569

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Solution

The fourth proportional to 45,233, 62,421.54 and 27,569 is: 38,045.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,233 : 62,421.54 = 27,569 : x
  2. Step 2: Convert to fraction form
    45,233/62,421.54 = 27,569/x
  3. Step 3: Cross multiply
    45,233x = 62,421.54 × 27,569
  4. Step 4: Simplify right side
    45,233x = 1,720,899,436.26
  5. Step 5: Solve for x
    x = 1,720,899,436.26/45,233
  6. Step 6: Final answer
    x = 38,045.22

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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.