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Finding the Fourth Proportional to 38,106.50, 52,585.99 and 20,878.74

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Solution

The fourth proportional to 38,106.50, 52,585.99 and 20,878.74 is: 28,812.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,106.50 : 52,585.99 = 20,878.74 : x
  2. Step 2: Convert to fraction form
    38,106.50/52,585.99 = 20,878.74/x
  3. Step 3: Cross multiply
    38,106.50x = 52,585.99 × 20,878.74
  4. Step 4: Simplify right side
    38,106.50x = 1,097,929,160.66
  5. Step 5: Solve for x
    x = 1,097,929,160.66/38,106.50
  6. Step 6: Final answer
    x = 28,812.13

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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.