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Finding the Fourth Proportional to 31,066.37, 46,594.89 and 10,003.62

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Solution

The fourth proportional to 31,066.37, 46,594.89 and 10,003.62 is: 15,003.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,066.37 : 46,594.89 = 10,003.62 : x
  2. Step 2: Convert to fraction form
    31,066.37/46,594.89 = 10,003.62/x
  3. Step 3: Cross multiply
    31,066.37x = 46,594.89 × 10,003.62
  4. Step 4: Simplify right side
    31,066.37x = 466,117,573.50
  5. Step 5: Solve for x
    x = 466,117,573.50/31,066.37
  6. Step 6: Final answer
    x = 15,003.93

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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.