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Finding the Fourth Proportional to 101,741.94, 152,563.74 and 35,158.74

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Solution

The fourth proportional to 101,741.94, 152,563.74 and 35,158.74 is: 52,721.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,741.94 : 152,563.74 = 35,158.74 : x
  2. Step 2: Convert to fraction form
    101,741.94/152,563.74 = 35,158.74/x
  3. Step 3: Cross multiply
    101,741.94x = 152,563.74 × 35,158.74
  4. Step 4: Simplify right side
    101,741.94x = 5,363,948,868.09
  5. Step 5: Solve for x
    x = 5,363,948,868.09/101,741.94
  6. Step 6: Final answer
    x = 52,721.12

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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.