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Finding the Fourth Proportional to 37,070.28, 55,628.28 and 14,577

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Solution

The fourth proportional to 37,070.28, 55,628.28 and 14,577 is: 21,874.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,070.28 : 55,628.28 = 14,577 : x
  2. Step 2: Convert to fraction form
    37,070.28/55,628.28 = 14,577/x
  3. Step 3: Cross multiply
    37,070.28x = 55,628.28 × 14,577
  4. Step 4: Simplify right side
    37,070.28x = 810,893,437.56
  5. Step 5: Solve for x
    x = 810,893,437.56/37,070.28
  6. Step 6: Final answer
    x = 21,874.49

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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.