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Finding the Fourth Proportional to 98,466.42, 135,884.32 and 56,024.94

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Solution

The fourth proportional to 98,466.42, 135,884.32 and 56,024.94 is: 77,314.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,466.42 : 135,884.32 = 56,024.94 : x
  2. Step 2: Convert to fraction form
    98,466.42/135,884.32 = 56,024.94/x
  3. Step 3: Cross multiply
    98,466.42x = 135,884.32 × 56,024.94
  4. Step 4: Simplify right side
    98,466.42x = 7,612,910,874.94
  5. Step 5: Solve for x
    x = 7,612,910,874.94/98,466.42
  6. Step 6: Final answer
    x = 77,314.79

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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.