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Finding the Fourth Proportional to 64,856.36, 89,496.40 and 36,569

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Solution

The fourth proportional to 64,856.36, 89,496.40 and 36,569 is: 50,462.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,856.36 : 89,496.40 = 36,569 : x
  2. Step 2: Convert to fraction form
    64,856.36/89,496.40 = 36,569/x
  3. Step 3: Cross multiply
    64,856.36x = 89,496.40 × 36,569
  4. Step 4: Simplify right side
    64,856.36x = 3,272,793,851.60
  5. Step 5: Solve for x
    x = 3,272,793,851.60/64,856.36
  6. Step 6: Final answer
    x = 50,462.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.