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Finding the Fourth Proportional to 37,438, 51,622.32 and 30,610.72

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Solution

The fourth proportional to 37,438, 51,622.32 and 30,610.72 is: 42,208.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,438 : 51,622.32 = 30,610.72 : x
  2. Step 2: Convert to fraction form
    37,438/51,622.32 = 30,610.72/x
  3. Step 3: Cross multiply
    37,438x = 51,622.32 × 30,610.72
  4. Step 4: Simplify right side
    37,438x = 1,580,196,383.27
  5. Step 5: Solve for x
    x = 1,580,196,383.27/37,438
  6. Step 6: Final answer
    x = 42,208.35

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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.