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Finding the Fourth Proportional to 78,508.80, 117,590.40 and 47,289.60

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Solution

The fourth proportional to 78,508.80, 117,590.40 and 47,289.60 is: 70,830.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,508.80 : 117,590.40 = 47,289.60 : x
  2. Step 2: Convert to fraction form
    78,508.80/117,590.40 = 47,289.60/x
  3. Step 3: Cross multiply
    78,508.80x = 117,590.40 × 47,289.60
  4. Step 4: Simplify right side
    78,508.80x = 5,560,802,979.84
  5. Step 5: Solve for x
    x = 5,560,802,979.84/78,508.80
  6. Step 6: Final answer
    x = 70,830.31

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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.