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Finding the Fourth Proportional to 37,070, 51,156.60 and 23,822

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Solution

The fourth proportional to 37,070, 51,156.60 and 23,822 is: 32,874.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,070 : 51,156.60 = 23,822 : x
  2. Step 2: Convert to fraction form
    37,070/51,156.60 = 23,822/x
  3. Step 3: Cross multiply
    37,070x = 51,156.60 × 23,822
  4. Step 4: Simplify right side
    37,070x = 1,218,652,525.20
  5. Step 5: Solve for x
    x = 1,218,652,525.20/37,070
  6. Step 6: Final answer
    x = 32,874.36

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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.