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Finding the Fourth Proportional to 31,730.62, 47,602.62 and 12,008.74

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Solution

The fourth proportional to 31,730.62, 47,602.62 and 12,008.74 is: 18,015.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,730.62 : 47,602.62 = 12,008.74 : x
  2. Step 2: Convert to fraction form
    31,730.62/47,602.62 = 12,008.74/x
  3. Step 3: Cross multiply
    31,730.62x = 47,602.62 × 12,008.74
  4. Step 4: Simplify right side
    31,730.62x = 571,647,486.90
  5. Step 5: Solve for x
    x = 571,647,486.90/31,730.62
  6. Step 6: Final answer
    x = 18,015.64

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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.