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Finding the Fourth Proportional to 101,586.41, 152,389.64 and 35,017.77

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Solution

The fourth proportional to 101,586.41, 152,389.64 and 35,017.77 is: 52,530.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,586.41 : 152,389.64 = 35,017.77 : x
  2. Step 2: Convert to fraction form
    101,586.41/152,389.64 = 35,017.77/x
  3. Step 3: Cross multiply
    101,586.41x = 152,389.64 × 35,017.77
  4. Step 4: Simplify right side
    101,586.41x = 5,336,345,363.90
  5. Step 5: Solve for x
    x = 5,336,345,363.90/101,586.41
  6. Step 6: Final answer
    x = 52,530.11

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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.