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Finding the Fourth Proportional to 31,315.35, 46,978.20 and 15,521.12

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Solution

The fourth proportional to 31,315.35, 46,978.20 and 15,521.12 is: 23,284.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,315.35 : 46,978.20 = 15,521.12 : x
  2. Step 2: Convert to fraction form
    31,315.35/46,978.20 = 15,521.12/x
  3. Step 3: Cross multiply
    31,315.35x = 46,978.20 × 15,521.12
  4. Step 4: Simplify right side
    31,315.35x = 729,154,279.58
  5. Step 5: Solve for x
    x = 729,154,279.58/31,315.35
  6. Step 6: Final answer
    x = 23,284.24

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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.