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Finding the Fourth Proportional to 47,992.70, 71,841.42 and 31,316.83

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Solution

The fourth proportional to 47,992.70, 71,841.42 and 31,316.83 is: 46,878.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,992.70 : 71,841.42 = 31,316.83 : x
  2. Step 2: Convert to fraction form
    47,992.70/71,841.42 = 31,316.83/x
  3. Step 3: Cross multiply
    47,992.70x = 71,841.42 × 31,316.83
  4. Step 4: Simplify right side
    47,992.70x = 2,249,845,357.50
  5. Step 5: Solve for x
    x = 2,249,845,357.50/47,992.70
  6. Step 6: Final answer
    x = 46,878.91

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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.