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Finding the Fourth Proportional to 64,472, 88,971.68 and 37,633.12

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Solution

The fourth proportional to 64,472, 88,971.68 and 37,633.12 is: 51,933.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,472 : 88,971.68 = 37,633.12 : x
  2. Step 2: Convert to fraction form
    64,472/88,971.68 = 37,633.12/x
  3. Step 3: Cross multiply
    64,472x = 88,971.68 × 37,633.12
  4. Step 4: Simplify right side
    64,472x = 3,348,281,910.04
  5. Step 5: Solve for x
    x = 3,348,281,910.04/64,472
  6. Step 6: Final answer
    x = 51,933.89

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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.