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Finding the Fourth Proportional to 59,415, 81,992.70 and 32,919

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Solution

The fourth proportional to 59,415, 81,992.70 and 32,919 is: 45,428.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,415 : 81,992.70 = 32,919 : x
  2. Step 2: Convert to fraction form
    59,415/81,992.70 = 32,919/x
  3. Step 3: Cross multiply
    59,415x = 81,992.70 × 32,919
  4. Step 4: Simplify right side
    59,415x = 2,699,117,691.30
  5. Step 5: Solve for x
    x = 2,699,117,691.30/59,415
  6. Step 6: Final answer
    x = 45,428.22

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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.