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Finding the Fourth Proportional to 95,716, 143,575.22 and 33,386.50

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Solution

The fourth proportional to 95,716, 143,575.22 and 33,386.50 is: 50,080.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,716 : 143,575.22 = 33,386.50 : x
  2. Step 2: Convert to fraction form
    95,716/143,575.22 = 33,386.50/x
  3. Step 3: Cross multiply
    95,716x = 143,575.22 × 33,386.50
  4. Step 4: Simplify right side
    95,716x = 4,793,474,082.53
  5. Step 5: Solve for x
    x = 4,793,474,082.53/95,716
  6. Step 6: Final answer
    x = 50,080.18

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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.