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Finding the Fourth Proportional to 77,854.70, 116,790.24 and 35,727.60

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Solution

The fourth proportional to 77,854.70, 116,790.24 and 35,727.60 is: 53,595.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,854.70 : 116,790.24 = 35,727.60 : x
  2. Step 2: Convert to fraction form
    77,854.70/116,790.24 = 35,727.60/x
  3. Step 3: Cross multiply
    77,854.70x = 116,790.24 × 35,727.60
  4. Step 4: Simplify right side
    77,854.70x = 4,172,634,978.62
  5. Step 5: Solve for x
    x = 4,172,634,978.62/77,854.70
  6. Step 6: Final answer
    x = 53,595.16

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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.