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Finding the Fourth Proportional to 109,702.32, 164,578.32 and 34,827

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Solution

The fourth proportional to 109,702.32, 164,578.32 and 34,827 is: 52,248.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,702.32 : 164,578.32 = 34,827 : x
  2. Step 2: Convert to fraction form
    109,702.32/164,578.32 = 34,827/x
  3. Step 3: Cross multiply
    109,702.32x = 164,578.32 × 34,827
  4. Step 4: Simplify right side
    109,702.32x = 5,731,769,150.64
  5. Step 5: Solve for x
    x = 5,731,769,150.64/109,702.32
  6. Step 6: Final answer
    x = 52,248.39

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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.