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Finding the Fourth Proportional to 64,856.56, 89,502 and 35,048.56

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Solution

The fourth proportional to 64,856.56, 89,502 and 35,048.56 is: 48,366.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,856.56 : 89,502 = 35,048.56 : x
  2. Step 2: Convert to fraction form
    64,856.56/89,502 = 35,048.56/x
  3. Step 3: Cross multiply
    64,856.56x = 89,502 × 35,048.56
  4. Step 4: Simplify right side
    64,856.56x = 3,136,916,217.12
  5. Step 5: Solve for x
    x = 3,136,916,217.12/64,856.56
  6. Step 6: Final answer
    x = 48,366.98

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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.