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Finding the Fourth Proportional to 51,329.71, 70,833 and 32,219.75

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Solution

The fourth proportional to 51,329.71, 70,833 and 32,219.75 is: 44,462.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,329.71 : 70,833 = 32,219.75 : x
  2. Step 2: Convert to fraction form
    51,329.71/70,833 = 32,219.75/x
  3. Step 3: Cross multiply
    51,329.71x = 70,833 × 32,219.75
  4. Step 4: Simplify right side
    51,329.71x = 2,282,221,551.75
  5. Step 5: Solve for x
    x = 2,282,221,551.75/51,329.71
  6. Step 6: Final answer
    x = 44,462.00

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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.