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Finding the Fourth Proportional to 71,146.84, 106,735.65 and 37,862.03

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Solution

The fourth proportional to 71,146.84, 106,735.65 and 37,862.03 is: 56,801.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,146.84 : 106,735.65 = 37,862.03 : x
  2. Step 2: Convert to fraction form
    71,146.84/106,735.65 = 37,862.03/x
  3. Step 3: Cross multiply
    71,146.84x = 106,735.65 × 37,862.03
  4. Step 4: Simplify right side
    71,146.84x = 4,041,228,382.37
  5. Step 5: Solve for x
    x = 4,041,228,382.37/71,146.84
  6. Step 6: Final answer
    x = 56,801.24

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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.