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Finding the Fourth Proportional to 32,838.51, 49,268.70 and 10,652.61

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Solution

The fourth proportional to 32,838.51, 49,268.70 and 10,652.61 is: 15,982.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,838.51 : 49,268.70 = 10,652.61 : x
  2. Step 2: Convert to fraction form
    32,838.51/49,268.70 = 10,652.61/x
  3. Step 3: Cross multiply
    32,838.51x = 49,268.70 × 10,652.61
  4. Step 4: Simplify right side
    32,838.51x = 524,840,246.31
  5. Step 5: Solve for x
    x = 524,840,246.31/32,838.51
  6. Step 6: Final answer
    x = 15,982.46

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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.