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Finding the Fourth Proportional to 54,950.30, 82,364.70 and 21,659.30

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Solution

The fourth proportional to 54,950.30, 82,364.70 and 21,659.30 is: 32,465.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,950.30 : 82,364.70 = 21,659.30 : x
  2. Step 2: Convert to fraction form
    54,950.30/82,364.70 = 21,659.30/x
  3. Step 3: Cross multiply
    54,950.30x = 82,364.70 × 21,659.30
  4. Step 4: Simplify right side
    54,950.30x = 1,783,961,746.71
  5. Step 5: Solve for x
    x = 1,783,961,746.71/54,950.30
  6. Step 6: Final answer
    x = 32,465.00

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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.