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Finding the Fourth Proportional to 64,850.16, 89,493.16 and 35,042.16

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Solution

The fourth proportional to 64,850.16, 89,493.16 and 35,042.16 is: 48,358.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,850.16 : 89,493.16 = 35,042.16 : x
  2. Step 2: Convert to fraction form
    64,850.16/89,493.16 = 35,042.16/x
  3. Step 3: Cross multiply
    64,850.16x = 89,493.16 × 35,042.16
  4. Step 4: Simplify right side
    64,850.16x = 3,136,033,631.63
  5. Step 5: Solve for x
    x = 3,136,033,631.63/64,850.16
  6. Step 6: Final answer
    x = 48,358.15

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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.