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Finding the Fourth Proportional to 125,816.48, 188,724.72 and 32,322.32

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Solution

The fourth proportional to 125,816.48, 188,724.72 and 32,322.32 is: 48,483.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,816.48 : 188,724.72 = 32,322.32 : x
  2. Step 2: Convert to fraction form
    125,816.48/188,724.72 = 32,322.32/x
  3. Step 3: Cross multiply
    125,816.48x = 188,724.72 × 32,322.32
  4. Step 4: Simplify right side
    125,816.48x = 6,100,020,791.75
  5. Step 5: Solve for x
    x = 6,100,020,791.75/125,816.48
  6. Step 6: Final answer
    x = 48,483.48

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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.