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Finding the Fourth Proportional to 49,802.44, 68,726.10 and 27,445

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Solution

The fourth proportional to 49,802.44, 68,726.10 and 27,445 is: 37,873.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,802.44 : 68,726.10 = 27,445 : x
  2. Step 2: Convert to fraction form
    49,802.44/68,726.10 = 27,445/x
  3. Step 3: Cross multiply
    49,802.44x = 68,726.10 × 27,445
  4. Step 4: Simplify right side
    49,802.44x = 1,886,187,814.50
  5. Step 5: Solve for x
    x = 1,886,187,814.50/49,802.44
  6. Step 6: Final answer
    x = 37,873.40

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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.