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Finding the Fourth Proportional to 32,806.56, 49,210.04 and 10,619.84

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Solution

The fourth proportional to 32,806.56, 49,210.04 and 10,619.84 is: 15,929.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,806.56 : 49,210.04 = 10,619.84 : x
  2. Step 2: Convert to fraction form
    32,806.56/49,210.04 = 10,619.84/x
  3. Step 3: Cross multiply
    32,806.56x = 49,210.04 × 10,619.84
  4. Step 4: Simplify right side
    32,806.56x = 522,602,751.19
  5. Step 5: Solve for x
    x = 522,602,751.19/32,806.56
  6. Step 6: Final answer
    x = 15,929.82

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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.