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Finding the Fourth Proportional to 37,049, 55,573.50 and 9,347

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Solution

The fourth proportional to 37,049, 55,573.50 and 9,347 is: 14,020.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,049 : 55,573.50 = 9,347 : x
  2. Step 2: Convert to fraction form
    37,049/55,573.50 = 9,347/x
  3. Step 3: Cross multiply
    37,049x = 55,573.50 × 9,347
  4. Step 4: Simplify right side
    37,049x = 519,445,504.50
  5. Step 5: Solve for x
    x = 519,445,504.50/37,049
  6. Step 6: Final answer
    x = 14,020.50

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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.