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Finding the Fourth Proportional to 31,518, 47,277 and 13,050

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Solution

The fourth proportional to 31,518, 47,277 and 13,050 is: 19,575

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,518 : 47,277 = 13,050 : x
  2. Step 2: Convert to fraction form
    31,518/47,277 = 13,050/x
  3. Step 3: Cross multiply
    31,518x = 47,277 × 13,050
  4. Step 4: Simplify right side
    31,518x = 616,964,850
  5. Step 5: Solve for x
    x = 616,964,850/31,518
  6. Step 6: Final answer
    x = 19,575

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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.