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Finding the Fourth Proportional to 45,702.36, 63,072.27 and 27,798.12

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Solution

The fourth proportional to 45,702.36, 63,072.27 and 27,798.12 is: 38,363.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,702.36 : 63,072.27 = 27,798.12 : x
  2. Step 2: Convert to fraction form
    45,702.36/63,072.27 = 27,798.12/x
  3. Step 3: Cross multiply
    45,702.36x = 63,072.27 × 27,798.12
  4. Step 4: Simplify right side
    45,702.36x = 1,753,290,530.13
  5. Step 5: Solve for x
    x = 1,753,290,530.13/45,702.36
  6. Step 6: Final answer
    x = 38,363.24

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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.