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Finding the Fourth Proportional to 95,265.84, 142,904.16 and 28,715.16

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Solution

The fourth proportional to 95,265.84, 142,904.16 and 28,715.16 is: 43,074.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,265.84 : 142,904.16 = 28,715.16 : x
  2. Step 2: Convert to fraction form
    95,265.84/142,904.16 = 28,715.16/x
  3. Step 3: Cross multiply
    95,265.84x = 142,904.16 × 28,715.16
  4. Step 4: Simplify right side
    95,265.84x = 4,103,515,819.07
  5. Step 5: Solve for x
    x = 4,103,515,819.07/95,265.84
  6. Step 6: Final answer
    x = 43,074.37

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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.