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Finding the Fourth Proportional to 98,466.49, 135,884.15 and 56,024.11

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Solution

The fourth proportional to 98,466.49, 135,884.15 and 56,024.11 is: 77,313.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,466.49 : 135,884.15 = 56,024.11 : x
  2. Step 2: Convert to fraction form
    98,466.49/135,884.15 = 56,024.11/x
  3. Step 3: Cross multiply
    98,466.49x = 135,884.15 × 56,024.11
  4. Step 4: Simplify right side
    98,466.49x = 7,612,788,566.86
  5. Step 5: Solve for x
    x = 7,612,788,566.86/98,466.49
  6. Step 6: Final answer
    x = 77,313.50

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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.