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Finding the Fourth Proportional to 37,951, 52,368.38 and 22,032.34

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Solution

The fourth proportional to 37,951, 52,368.38 and 22,032.34 is: 30,402.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,951 : 52,368.38 = 22,032.34 : x
  2. Step 2: Convert to fraction form
    37,951/52,368.38 = 22,032.34/x
  3. Step 3: Cross multiply
    37,951x = 52,368.38 × 22,032.34
  4. Step 4: Simplify right side
    37,951x = 1,153,797,953.41
  5. Step 5: Solve for x
    x = 1,153,797,953.41/37,951
  6. Step 6: Final answer
    x = 30,402.31

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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.