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Finding the Fourth Proportional to 40,261.42, 55,531.82 and 24,943

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Solution

The fourth proportional to 40,261.42, 55,531.82 and 24,943 is: 34,403.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,261.42 : 55,531.82 = 24,943 : x
  2. Step 2: Convert to fraction form
    40,261.42/55,531.82 = 24,943/x
  3. Step 3: Cross multiply
    40,261.42x = 55,531.82 × 24,943
  4. Step 4: Simplify right side
    40,261.42x = 1,385,130,186.26
  5. Step 5: Solve for x
    x = 1,385,130,186.26/40,261.42
  6. Step 6: Final answer
    x = 34,403.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.