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Finding the Fourth Proportional to 31,124.13, 46,687 and 10,347.63

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Solution

The fourth proportional to 31,124.13, 46,687 and 10,347.63 is: 15,521.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,124.13 : 46,687 = 10,347.63 : x
  2. Step 2: Convert to fraction form
    31,124.13/46,687 = 10,347.63/x
  3. Step 3: Cross multiply
    31,124.13x = 46,687 × 10,347.63
  4. Step 4: Simplify right side
    31,124.13x = 483,099,801.81
  5. Step 5: Solve for x
    x = 483,099,801.81/31,124.13
  6. Step 6: Final answer
    x = 15,521.71

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1.5x scale

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.