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Finding the Fourth Proportional to 37,681.45, 51,983.76 and 23,337.46

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Solution

The fourth proportional to 37,681.45, 51,983.76 and 23,337.46 is: 32,195.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,681.45 : 51,983.76 = 23,337.46 : x
  2. Step 2: Convert to fraction form
    37,681.45/51,983.76 = 23,337.46/x
  3. Step 3: Cross multiply
    37,681.45x = 51,983.76 × 23,337.46
  4. Step 4: Simplify right side
    37,681.45x = 1,213,168,802.96
  5. Step 5: Solve for x
    x = 1,213,168,802.96/37,681.45
  6. Step 6: Final answer
    x = 32,195.39

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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.