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Finding the Fourth Proportional to 30,598.25, 45,902.00 and 10,872.12

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Solution

The fourth proportional to 30,598.25, 45,902.00 and 10,872.12 is: 16,309.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,598.25 : 45,902.00 = 10,872.12 : x
  2. Step 2: Convert to fraction form
    30,598.25/45,902.00 = 10,872.12/x
  3. Step 3: Cross multiply
    30,598.25x = 45,902.00 × 10,872.12
  4. Step 4: Simplify right side
    30,598.25x = 499,051,907.29
  5. Step 5: Solve for x
    x = 499,051,907.29/30,598.25
  6. Step 6: Final answer
    x = 16,309.82

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1.5x scale

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.