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Finding the Fourth Proportional to 30,022.50, 45,041.13 and 21,155.14

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Solution

The fourth proportional to 30,022.50, 45,041.13 and 21,155.14 is: 31,737.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,022.50 : 45,041.13 = 21,155.14 : x
  2. Step 2: Convert to fraction form
    30,022.50/45,041.13 = 21,155.14/x
  3. Step 3: Cross multiply
    30,022.50x = 45,041.13 × 21,155.14
  4. Step 4: Simplify right side
    30,022.50x = 952,851,410.91
  5. Step 5: Solve for x
    x = 952,851,410.91/30,022.50
  6. Step 6: Final answer
    x = 31,737.91

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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.