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Finding the Fourth Proportional to 95,318, 142,877.22 and 32,116.28

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Solution

The fourth proportional to 95,318, 142,877.22 and 32,116.28 is: 48,140.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,318 : 142,877.22 = 32,116.28 : x
  2. Step 2: Convert to fraction form
    95,318/142,877.22 = 32,116.28/x
  3. Step 3: Cross multiply
    95,318x = 142,877.22 × 32,116.28
  4. Step 4: Simplify right side
    95,318x = 4,588,684,803.14
  5. Step 5: Solve for x
    x = 4,588,684,803.14/95,318
  6. Step 6: Final answer
    x = 48,140.80

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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.