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Finding the Fourth Proportional to 61,933.32, 92,824.92 and 28,584

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Solution

The fourth proportional to 61,933.32, 92,824.92 and 28,584 is: 42,841.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,933.32 : 92,824.92 = 28,584 : x
  2. Step 2: Convert to fraction form
    61,933.32/92,824.92 = 28,584/x
  3. Step 3: Cross multiply
    61,933.32x = 92,824.92 × 28,584
  4. Step 4: Simplify right side
    61,933.32x = 2,653,307,513.28
  5. Step 5: Solve for x
    x = 2,653,307,513.28/61,933.32
  6. Step 6: Final answer
    x = 42,841.36

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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.