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Finding the Fourth Proportional to 37,311.84, 55,968.32 and 9,232

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Solution

The fourth proportional to 37,311.84, 55,968.32 and 9,232 is: 13,848.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,311.84 : 55,968.32 = 9,232 : x
  2. Step 2: Convert to fraction form
    37,311.84/55,968.32 = 9,232/x
  3. Step 3: Cross multiply
    37,311.84x = 55,968.32 × 9,232
  4. Step 4: Simplify right side
    37,311.84x = 516,699,530.24
  5. Step 5: Solve for x
    x = 516,699,530.24/37,311.84
  6. Step 6: Final answer
    x = 13,848.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.