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Finding the Fourth Proportional to 86,514.30, 129,807.90 and 47,099.70

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Solution

The fourth proportional to 86,514.30, 129,807.90 and 47,099.70 is: 70,669.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,514.30 : 129,807.90 = 47,099.70 : x
  2. Step 2: Convert to fraction form
    86,514.30/129,807.90 = 47,099.70/x
  3. Step 3: Cross multiply
    86,514.30x = 129,807.90 × 47,099.70
  4. Step 4: Simplify right side
    86,514.30x = 6,113,913,147.63
  5. Step 5: Solve for x
    x = 6,113,913,147.63/86,514.30
  6. Step 6: Final answer
    x = 70,669.39

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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.