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Finding the Fourth Proportional to 59,306, 81,842.28 and 32,810

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Solution

The fourth proportional to 59,306, 81,842.28 and 32,810 is: 45,277.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,306 : 81,842.28 = 32,810 : x
  2. Step 2: Convert to fraction form
    59,306/81,842.28 = 32,810/x
  3. Step 3: Cross multiply
    59,306x = 81,842.28 × 32,810
  4. Step 4: Simplify right side
    59,306x = 2,685,245,206.80
  5. Step 5: Solve for x
    x = 2,685,245,206.80/59,306
  6. Step 6: Final answer
    x = 45,277.80

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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.