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Finding the Fourth Proportional to 106,402.15, 159,590.22 and 27,509.77

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Solution

The fourth proportional to 106,402.15, 159,590.22 and 27,509.77 is: 41,261.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,402.15 : 159,590.22 = 27,509.77 : x
  2. Step 2: Convert to fraction form
    106,402.15/159,590.22 = 27,509.77/x
  3. Step 3: Cross multiply
    106,402.15x = 159,590.22 × 27,509.77
  4. Step 4: Simplify right side
    106,402.15x = 4,390,290,246.45
  5. Step 5: Solve for x
    x = 4,390,290,246.45/106,402.15
  6. Step 6: Final answer
    x = 41,261.29

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1.5x scale

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.