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Finding the Fourth Proportional to 71,431.61, 98,578.02 and 39,598.61

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Solution

The fourth proportional to 71,431.61, 98,578.02 and 39,598.61 is: 54,647.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,431.61 : 98,578.02 = 39,598.61 : x
  2. Step 2: Convert to fraction form
    71,431.61/98,578.02 = 39,598.61/x
  3. Step 3: Cross multiply
    71,431.61x = 98,578.02 × 39,598.61
  4. Step 4: Simplify right side
    71,431.61x = 3,903,551,877.67
  5. Step 5: Solve for x
    x = 3,903,551,877.67/71,431.61
  6. Step 6: Final answer
    x = 54,647.41

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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.