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Finding the Fourth Proportional to 30,431.88, 41,994.54 and 17,002.92

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Solution

The fourth proportional to 30,431.88, 41,994.54 and 17,002.92 is: 23,463.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,431.88 : 41,994.54 = 17,002.92 : x
  2. Step 2: Convert to fraction form
    30,431.88/41,994.54 = 17,002.92/x
  3. Step 3: Cross multiply
    30,431.88x = 41,994.54 × 17,002.92
  4. Step 4: Simplify right side
    30,431.88x = 714,029,804.06
  5. Step 5: Solve for x
    x = 714,029,804.06/30,431.88
  6. Step 6: Final answer
    x = 23,463.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.