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Finding the Fourth Proportional to 31,073.13, 46,603.17 and 10,015.07

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Solution

The fourth proportional to 31,073.13, 46,603.17 and 10,015.07 is: 15,020.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,073.13 : 46,603.17 = 10,015.07 : x
  2. Step 2: Convert to fraction form
    31,073.13/46,603.17 = 10,015.07/x
  3. Step 3: Cross multiply
    31,073.13x = 46,603.17 × 10,015.07
  4. Step 4: Simplify right side
    31,073.13x = 466,733,776.76
  5. Step 5: Solve for x
    x = 466,733,776.76/31,073.13
  6. Step 6: Final answer
    x = 15,020.49

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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.