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Finding the Fourth Proportional to 109,878.84, 164,818.26 and 39,741.75

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Solution

The fourth proportional to 109,878.84, 164,818.26 and 39,741.75 is: 59,612.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,878.84 : 164,818.26 = 39,741.75 : x
  2. Step 2: Convert to fraction form
    109,878.84/164,818.26 = 39,741.75/x
  3. Step 3: Cross multiply
    109,878.84x = 164,818.26 × 39,741.75
  4. Step 4: Simplify right side
    109,878.84x = 6,550,166,084.36
  5. Step 5: Solve for x
    x = 6,550,166,084.36/109,878.84
  6. Step 6: Final answer
    x = 59,612.63

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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.