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Finding the Fourth Proportional to 32,800.56, 49,206.51 and 10,619.52

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Solution

The fourth proportional to 32,800.56, 49,206.51 and 10,619.52 is: 15,931.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,800.56 : 49,206.51 = 10,619.52 : x
  2. Step 2: Convert to fraction form
    32,800.56/49,206.51 = 10,619.52/x
  3. Step 3: Cross multiply
    32,800.56x = 49,206.51 × 10,619.52
  4. Step 4: Simplify right side
    32,800.56x = 522,549,517.08
  5. Step 5: Solve for x
    x = 522,549,517.08/32,800.56
  6. Step 6: Final answer
    x = 15,931.12

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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.