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Finding the Fourth Proportional to 125,674.32, 188,509.81 and 30,905.32

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Solution

The fourth proportional to 125,674.32, 188,509.81 and 30,905.32 is: 46,357.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,674.32 : 188,509.81 = 30,905.32 : x
  2. Step 2: Convert to fraction form
    125,674.32/188,509.81 = 30,905.32/x
  3. Step 3: Cross multiply
    125,674.32x = 188,509.81 × 30,905.32
  4. Step 4: Simplify right side
    125,674.32x = 5,825,956,001.19
  5. Step 5: Solve for x
    x = 5,825,956,001.19/125,674.32
  6. Step 6: Final answer
    x = 46,357.57

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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.