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Finding the Fourth Proportional to 92,762.92, 139,164.54 and 30,431.08

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Solution

The fourth proportional to 92,762.92, 139,164.54 and 30,431.08 is: 45,653.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,762.92 : 139,164.54 = 30,431.08 : x
  2. Step 2: Convert to fraction form
    92,762.92/139,164.54 = 30,431.08/x
  3. Step 3: Cross multiply
    92,762.92x = 139,164.54 × 30,431.08
  4. Step 4: Simplify right side
    92,762.92x = 4,234,927,249.90
  5. Step 5: Solve for x
    x = 4,234,927,249.90/92,762.92
  6. Step 6: Final answer
    x = 45,653.23

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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.