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Finding the Fourth Proportional to 30,498.84, 45,731.37 and 9,433.08

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Solution

The fourth proportional to 30,498.84, 45,731.37 and 9,433.08 is: 14,144.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,498.84 : 45,731.37 = 9,433.08 : x
  2. Step 2: Convert to fraction form
    30,498.84/45,731.37 = 9,433.08/x
  3. Step 3: Cross multiply
    30,498.84x = 45,731.37 × 9,433.08
  4. Step 4: Simplify right side
    30,498.84x = 431,387,671.72
  5. Step 5: Solve for x
    x = 431,387,671.72/30,498.84
  6. Step 6: Final answer
    x = 14,144.40

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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.