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Finding the Fourth Proportional to 93,698.96, 140,561.40 and 38,282

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Solution

The fourth proportional to 93,698.96, 140,561.40 and 38,282 is: 57,428.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,698.96 : 140,561.40 = 38,282 : x
  2. Step 2: Convert to fraction form
    93,698.96/140,561.40 = 38,282/x
  3. Step 3: Cross multiply
    93,698.96x = 140,561.40 × 38,282
  4. Step 4: Simplify right side
    93,698.96x = 5,380,971,514.80
  5. Step 5: Solve for x
    x = 5,380,971,514.80/93,698.96
  6. Step 6: Final answer
    x = 57,428.29

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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.