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Finding the Fourth Proportional to 47,155.88, 70,732.14 and 12,095.88

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Solution

The fourth proportional to 47,155.88, 70,732.14 and 12,095.88 is: 18,143.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,155.88 : 70,732.14 = 12,095.88 : x
  2. Step 2: Convert to fraction form
    47,155.88/70,732.14 = 12,095.88/x
  3. Step 3: Cross multiply
    47,155.88x = 70,732.14 × 12,095.88
  4. Step 4: Simplify right side
    47,155.88x = 855,567,477.58
  5. Step 5: Solve for x
    x = 855,567,477.58/47,155.88
  6. Step 6: Final answer
    x = 18,143.39

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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.