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Finding the Fourth Proportional to 101,863.16, 152,830.38 and 39,577.40

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Solution

The fourth proportional to 101,863.16, 152,830.38 and 39,577.40 is: 59,379.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,863.16 : 152,830.38 = 39,577.40 : x
  2. Step 2: Convert to fraction form
    101,863.16/152,830.38 = 39,577.40/x
  3. Step 3: Cross multiply
    101,863.16x = 152,830.38 × 39,577.40
  4. Step 4: Simplify right side
    101,863.16x = 6,048,629,081.41
  5. Step 5: Solve for x
    x = 6,048,629,081.41/101,863.16
  6. Step 6: Final answer
    x = 59,379.95

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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.