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Finding the Fourth Proportional to 60,282, 83,189.28 and 33,786

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Solution

The fourth proportional to 60,282, 83,189.28 and 33,786 is: 46,624.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,282 : 83,189.28 = 33,786 : x
  2. Step 2: Convert to fraction form
    60,282/83,189.28 = 33,786/x
  3. Step 3: Cross multiply
    60,282x = 83,189.28 × 33,786
  4. Step 4: Simplify right side
    60,282x = 2,810,633,014.08
  5. Step 5: Solve for x
    x = 2,810,633,014.08/60,282
  6. Step 6: Final answer
    x = 46,624.75

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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.