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Finding the Fourth Proportional to 125,065.44, 187,600.32 and 31,572

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Solution

The fourth proportional to 125,065.44, 187,600.32 and 31,572 is: 47,358.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,065.44 : 187,600.32 = 31,572 : x
  2. Step 2: Convert to fraction form
    125,065.44/187,600.32 = 31,572/x
  3. Step 3: Cross multiply
    125,065.44x = 187,600.32 × 31,572
  4. Step 4: Simplify right side
    125,065.44x = 5,922,917,303.04
  5. Step 5: Solve for x
    x = 5,922,917,303.04/125,065.44
  6. Step 6: Final answer
    x = 47,358.55

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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.