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Finding the Fourth Proportional to 37,497.56, 51,756.90 and 23,342

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Solution

The fourth proportional to 37,497.56, 51,756.90 and 23,342 is: 32,218.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,497.56 : 51,756.90 = 23,342 : x
  2. Step 2: Convert to fraction form
    37,497.56/51,756.90 = 23,342/x
  3. Step 3: Cross multiply
    37,497.56x = 51,756.90 × 23,342
  4. Step 4: Simplify right side
    37,497.56x = 1,208,109,559.80
  5. Step 5: Solve for x
    x = 1,208,109,559.80/37,497.56
  6. Step 6: Final answer
    x = 32,218.35

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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.