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Finding the Fourth Proportional to 27,774.30, 38,328.38 and 25,515

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Solution

The fourth proportional to 27,774.30, 38,328.38 and 25,515 is: 35,210.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,774.30 : 38,328.38 = 25,515 : x
  2. Step 2: Convert to fraction form
    27,774.30/38,328.38 = 25,515/x
  3. Step 3: Cross multiply
    27,774.30x = 38,328.38 × 25,515
  4. Step 4: Simplify right side
    27,774.30x = 977,948,488.13
  5. Step 5: Solve for x
    x = 977,948,488.13/27,774.30
  6. Step 6: Final answer
    x = 35,210.55

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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.