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Finding the Fourth Proportional to 43,598.78, 65,335.67 and 24,840

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Solution

The fourth proportional to 43,598.78, 65,335.67 and 24,840 is: 37,224.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,598.78 : 65,335.67 = 24,840 : x
  2. Step 2: Convert to fraction form
    43,598.78/65,335.67 = 24,840/x
  3. Step 3: Cross multiply
    43,598.78x = 65,335.67 × 24,840
  4. Step 4: Simplify right side
    43,598.78x = 1,622,938,042.80
  5. Step 5: Solve for x
    x = 1,622,938,042.80/43,598.78
  6. Step 6: Final answer
    x = 37,224.39

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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.