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Finding the Fourth Proportional to 32,856.60, 49,357.80 and 31,528.20

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Solution

The fourth proportional to 32,856.60, 49,357.80 and 31,528.20 is: 47,362.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,856.60 : 49,357.80 = 31,528.20 : x
  2. Step 2: Convert to fraction form
    32,856.60/49,357.80 = 31,528.20/x
  3. Step 3: Cross multiply
    32,856.60x = 49,357.80 × 31,528.20
  4. Step 4: Simplify right side
    32,856.60x = 1,556,162,589.96
  5. Step 5: Solve for x
    x = 1,556,162,589.96/32,856.60
  6. Step 6: Final answer
    x = 47,362.25

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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.