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Finding the Fourth Proportional to 31,061.37, 46,599.51 and 10,003.40

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Solution

The fourth proportional to 31,061.37, 46,599.51 and 10,003.40 is: 15,007.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,061.37 : 46,599.51 = 10,003.40 : x
  2. Step 2: Convert to fraction form
    31,061.37/46,599.51 = 10,003.40/x
  3. Step 3: Cross multiply
    31,061.37x = 46,599.51 × 10,003.40
  4. Step 4: Simplify right side
    31,061.37x = 466,153,538.33
  5. Step 5: Solve for x
    x = 466,153,538.33/31,061.37
  6. Step 6: Final answer
    x = 15,007.50

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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.