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Finding the Fourth Proportional to 59,908.50, 89,922.24 and 31,828.77

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Solution

The fourth proportional to 59,908.50, 89,922.24 and 31,828.77 is: 47,774.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,908.50 : 89,922.24 = 31,828.77 : x
  2. Step 2: Convert to fraction form
    59,908.50/89,922.24 = 31,828.77/x
  3. Step 3: Cross multiply
    59,908.50x = 89,922.24 × 31,828.77
  4. Step 4: Simplify right side
    59,908.50x = 2,862,114,294.84
  5. Step 5: Solve for x
    x = 2,862,114,294.84/59,908.50
  6. Step 6: Final answer
    x = 47,774.76

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