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Finding the Fourth Proportional to 38,106.61, 52,587.99 and 22,185.25

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Solution

The fourth proportional to 38,106.61, 52,587.99 and 22,185.25 is: 30,616.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,106.61 : 52,587.99 = 22,185.25 : x
  2. Step 2: Convert to fraction form
    38,106.61/52,587.99 = 22,185.25/x
  3. Step 3: Cross multiply
    38,106.61x = 52,587.99 × 22,185.25
  4. Step 4: Simplify right side
    38,106.61x = 1,166,677,705.15
  5. Step 5: Solve for x
    x = 1,166,677,705.15/38,106.61
  6. Step 6: Final answer
    x = 30,616.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.