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Finding the Fourth Proportional to 47,590.70, 71,386.21 and 12,052

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Solution

The fourth proportional to 47,590.70, 71,386.21 and 12,052 is: 18,078.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,590.70 : 71,386.21 = 12,052 : x
  2. Step 2: Convert to fraction form
    47,590.70/71,386.21 = 12,052/x
  3. Step 3: Cross multiply
    47,590.70x = 71,386.21 × 12,052
  4. Step 4: Simplify right side
    47,590.70x = 860,346,602.92
  5. Step 5: Solve for x
    x = 860,346,602.92/47,590.70
  6. Step 6: Final answer
    x = 18,078.04

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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.