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Finding the Fourth Proportional to 61,952.34, 92,928.97 and 15,205.22

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Solution

The fourth proportional to 61,952.34, 92,928.97 and 15,205.22 is: 22,807.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,952.34 : 92,928.97 = 15,205.22 : x
  2. Step 2: Convert to fraction form
    61,952.34/92,928.97 = 15,205.22/x
  3. Step 3: Cross multiply
    61,952.34x = 92,928.97 × 15,205.22
  4. Step 4: Simplify right side
    61,952.34x = 1,413,005,336.07
  5. Step 5: Solve for x
    x = 1,413,005,336.07/61,952.34
  6. Step 6: Final answer
    x = 22,807.94

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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.