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Finding the Fourth Proportional to 101,599.26, 152,409.69 and 31,484.04

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Solution

The fourth proportional to 101,599.26, 152,409.69 and 31,484.04 is: 47,229.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,599.26 : 152,409.69 = 31,484.04 : x
  2. Step 2: Convert to fraction form
    101,599.26/152,409.69 = 31,484.04/x
  3. Step 3: Cross multiply
    101,599.26x = 152,409.69 × 31,484.04
  4. Step 4: Simplify right side
    101,599.26x = 4,798,472,776.35
  5. Step 5: Solve for x
    x = 4,798,472,776.35/101,599.26
  6. Step 6: Final answer
    x = 47,229.41

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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.