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Finding the Fourth Proportional to 71,030.84, 106,563.60 and 23,645.84

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Solution

The fourth proportional to 71,030.84, 106,563.60 and 23,645.84 is: 35,474.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,030.84 : 106,563.60 = 23,645.84 : x
  2. Step 2: Convert to fraction form
    71,030.84/106,563.60 = 23,645.84/x
  3. Step 3: Cross multiply
    71,030.84x = 106,563.60 × 23,645.84
  4. Step 4: Simplify right side
    71,030.84x = 2,519,785,302.61
  5. Step 5: Solve for x
    x = 2,519,785,302.61/71,030.84
  6. Step 6: Final answer
    x = 35,474.53

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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.