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Finding the Fourth Proportional to 60,083, 90,178.67 and 32,026.42

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Solution

The fourth proportional to 60,083, 90,178.67 and 32,026.42 is: 48,068.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,083 : 90,178.67 = 32,026.42 : x
  2. Step 2: Convert to fraction form
    60,083/90,178.67 = 32,026.42/x
  3. Step 3: Cross multiply
    60,083x = 90,178.67 × 32,026.42
  4. Step 4: Simplify right side
    60,083x = 2,888,099,800.33
  5. Step 5: Solve for x
    x = 2,888,099,800.33/60,083
  6. Step 6: Final answer
    x = 48,068.50

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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.