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Finding the Fourth Proportional to 64,439, 96,635.31 and 22,307.66

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Solution

The fourth proportional to 64,439, 96,635.31 and 22,307.66 is: 33,453.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,439 : 96,635.31 = 22,307.66 : x
  2. Step 2: Convert to fraction form
    64,439/96,635.31 = 22,307.66/x
  3. Step 3: Cross multiply
    64,439x = 96,635.31 × 22,307.66
  4. Step 4: Simplify right side
    64,439x = 2,155,707,639.47
  5. Step 5: Solve for x
    x = 2,155,707,639.47/64,439
  6. Step 6: Final answer
    x = 33,453.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.