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Finding the Fourth Proportional to 125,967.96, 188,954.78 and 47,039.13

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Solution

The fourth proportional to 125,967.96, 188,954.78 and 47,039.13 is: 70,559.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,967.96 : 188,954.78 = 47,039.13 : x
  2. Step 2: Convert to fraction form
    125,967.96/188,954.78 = 47,039.13/x
  3. Step 3: Cross multiply
    125,967.96x = 188,954.78 × 47,039.13
  4. Step 4: Simplify right side
    125,967.96x = 8,888,268,225.35
  5. Step 5: Solve for x
    x = 8,888,268,225.35/125,967.96
  6. Step 6: Final answer
    x = 70,559.75

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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.