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Finding the Fourth Proportional to 40,648.98, 56,102.23 and 27,891.63

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Solution

The fourth proportional to 40,648.98, 56,102.23 and 27,891.63 is: 38,495.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,648.98 : 56,102.23 = 27,891.63 : x
  2. Step 2: Convert to fraction form
    40,648.98/56,102.23 = 27,891.63/x
  3. Step 3: Cross multiply
    40,648.98x = 56,102.23 × 27,891.63
  4. Step 4: Simplify right side
    40,648.98x = 1,564,782,641.33
  5. Step 5: Solve for x
    x = 1,564,782,641.33/40,648.98
  6. Step 6: Final answer
    x = 38,495.00

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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.