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Finding the Fourth Proportional to 100,582.86, 150,893.73 and 38,248.50

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Solution

The fourth proportional to 100,582.86, 150,893.73 and 38,248.50 is: 57,380.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,582.86 : 150,893.73 = 38,248.50 : x
  2. Step 2: Convert to fraction form
    100,582.86/150,893.73 = 38,248.50/x
  3. Step 3: Cross multiply
    100,582.86x = 150,893.73 × 38,248.50
  4. Step 4: Simplify right side
    100,582.86x = 5,771,458,831.91
  5. Step 5: Solve for x
    x = 5,771,458,831.91/100,582.86
  6. Step 6: Final answer
    x = 57,380.14

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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.