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Finding the Fourth Proportional to 54,624.87, 81,970.11 and 23,032.98

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Solution

The fourth proportional to 54,624.87, 81,970.11 and 23,032.98 is: 34,563.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,624.87 : 81,970.11 = 23,032.98 : x
  2. Step 2: Convert to fraction form
    54,624.87/81,970.11 = 23,032.98/x
  3. Step 3: Cross multiply
    54,624.87x = 81,970.11 × 23,032.98
  4. Step 4: Simplify right side
    54,624.87x = 1,888,015,904.23
  5. Step 5: Solve for x
    x = 1,888,015,904.23/54,624.87
  6. Step 6: Final answer
    x = 34,563.30

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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.