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Finding the Fourth Proportional to 35,984, 54,003.84 and 24,968

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Solution

The fourth proportional to 35,984, 54,003.84 and 24,968 is: 37,471.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,984 : 54,003.84 = 24,968 : x
  2. Step 2: Convert to fraction form
    35,984/54,003.84 = 24,968/x
  3. Step 3: Cross multiply
    35,984x = 54,003.84 × 24,968
  4. Step 4: Simplify right side
    35,984x = 1,348,367,877.12
  5. Step 5: Solve for x
    x = 1,348,367,877.12/35,984
  6. Step 6: Final answer
    x = 37,471.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.