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Finding the Fourth Proportional to 44,382.54, 66,564.09 and 13,210.50

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Solution

The fourth proportional to 44,382.54, 66,564.09 and 13,210.50 is: 19,812.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,382.54 : 66,564.09 = 13,210.50 : x
  2. Step 2: Convert to fraction form
    44,382.54/66,564.09 = 13,210.50/x
  3. Step 3: Cross multiply
    44,382.54x = 66,564.09 × 13,210.50
  4. Step 4: Simplify right side
    44,382.54x = 879,344,910.95
  5. Step 5: Solve for x
    x = 879,344,910.95/44,382.54
  6. Step 6: Final answer
    x = 19,812.86

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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.