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Finding the Fourth Proportional to 40,918, 56,466.90 and 24,151

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Solution

The fourth proportional to 40,918, 56,466.90 and 24,151 is: 33,328.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,918 : 56,466.90 = 24,151 : x
  2. Step 2: Convert to fraction form
    40,918/56,466.90 = 24,151/x
  3. Step 3: Cross multiply
    40,918x = 56,466.90 × 24,151
  4. Step 4: Simplify right side
    40,918x = 1,363,732,101.90
  5. Step 5: Solve for x
    x = 1,363,732,101.90/40,918
  6. Step 6: Final answer
    x = 33,328.42

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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.