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Finding the Fourth Proportional to 37,440, 51,667.20 and 24,192

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Solution

The fourth proportional to 37,440, 51,667.20 and 24,192 is: 33,384.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,440 : 51,667.20 = 24,192 : x
  2. Step 2: Convert to fraction form
    37,440/51,667.20 = 24,192/x
  3. Step 3: Cross multiply
    37,440x = 51,667.20 × 24,192
  4. Step 4: Simplify right side
    37,440x = 1,249,932,902.40
  5. Step 5: Solve for x
    x = 1,249,932,902.40/37,440
  6. Step 6: Final answer
    x = 33,384.96

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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.