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Finding the Fourth Proportional to 30,428.87, 45,643.30 and 14,833.13

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Solution

The fourth proportional to 30,428.87, 45,643.30 and 14,833.13 is: 22,249.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,428.87 : 45,643.30 = 14,833.13 : x
  2. Step 2: Convert to fraction form
    30,428.87/45,643.30 = 14,833.13/x
  3. Step 3: Cross multiply
    30,428.87x = 45,643.30 × 14,833.13
  4. Step 4: Simplify right side
    30,428.87x = 677,032,737.23
  5. Step 5: Solve for x
    x = 677,032,737.23/30,428.87
  6. Step 6: Final answer
    x = 22,249.69

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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.