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Finding the Fourth Proportional to 31,762.52, 43,829.12 and 18,338.10

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Solution

The fourth proportional to 31,762.52, 43,829.12 and 18,338.10 is: 25,304.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,762.52 : 43,829.12 = 18,338.10 : x
  2. Step 2: Convert to fraction form
    31,762.52/43,829.12 = 18,338.10/x
  3. Step 3: Cross multiply
    31,762.52x = 43,829.12 × 18,338.10
  4. Step 4: Simplify right side
    31,762.52x = 803,742,785.47
  5. Step 5: Solve for x
    x = 803,742,785.47/31,762.52
  6. Step 6: Final answer
    x = 25,304.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.