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Finding the Fourth Proportional to 64,426, 96,645.60 and 22,306

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Solution

The fourth proportional to 64,426, 96,645.60 and 22,306 is: 33,461.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,426 : 96,645.60 = 22,306 : x
  2. Step 2: Convert to fraction form
    64,426/96,645.60 = 22,306/x
  3. Step 3: Cross multiply
    64,426x = 96,645.60 × 22,306
  4. Step 4: Simplify right side
    64,426x = 2,155,776,753.60
  5. Step 5: Solve for x
    x = 2,155,776,753.60/64,426
  6. Step 6: Final answer
    x = 33,461.29

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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.