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Finding the Fourth Proportional to 32,713.22, 49,069.84 and 10,528.33

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Solution

The fourth proportional to 32,713.22, 49,069.84 and 10,528.33 is: 15,792.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,713.22 : 49,069.84 = 10,528.33 : x
  2. Step 2: Convert to fraction form
    32,713.22/49,069.84 = 10,528.33/x
  3. Step 3: Cross multiply
    32,713.22x = 49,069.84 × 10,528.33
  4. Step 4: Simplify right side
    32,713.22x = 516,623,468.57
  5. Step 5: Solve for x
    x = 516,623,468.57/32,713.22
  6. Step 6: Final answer
    x = 15,792.50

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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.