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Finding the Fourth Proportional to 59,912.84, 89,947.02 and 46,071.56

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Solution

The fourth proportional to 59,912.84, 89,947.02 and 46,071.56 is: 69,167.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,912.84 : 89,947.02 = 46,071.56 : x
  2. Step 2: Convert to fraction form
    59,912.84/89,947.02 = 46,071.56/x
  3. Step 3: Cross multiply
    59,912.84x = 89,947.02 × 46,071.56
  4. Step 4: Simplify right side
    59,912.84x = 4,143,999,528.75
  5. Step 5: Solve for x
    x = 4,143,999,528.75/59,912.84
  6. Step 6: Final answer
    x = 69,167.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.