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Finding the Fourth Proportional to 61,803.52, 92,655.36 and 24,832

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Solution

The fourth proportional to 61,803.52, 92,655.36 and 24,832 is: 37,227.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,803.52 : 92,655.36 = 24,832 : x
  2. Step 2: Convert to fraction form
    61,803.52/92,655.36 = 24,832/x
  3. Step 3: Cross multiply
    61,803.52x = 92,655.36 × 24,832
  4. Step 4: Simplify right side
    61,803.52x = 2,300,817,899.52
  5. Step 5: Solve for x
    x = 2,300,817,899.52/61,803.52
  6. Step 6: Final answer
    x = 37,227.94

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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.