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Finding the Fourth Proportional to 30,715.99, 42,390.21 and 17,288.53

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Solution

The fourth proportional to 30,715.99, 42,390.21 and 17,288.53 is: 23,859.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,715.99 : 42,390.21 = 17,288.53 : x
  2. Step 2: Convert to fraction form
    30,715.99/42,390.21 = 17,288.53/x
  3. Step 3: Cross multiply
    30,715.99x = 42,390.21 × 17,288.53
  4. Step 4: Simplify right side
    30,715.99x = 732,864,417.29
  5. Step 5: Solve for x
    x = 732,864,417.29/30,715.99
  6. Step 6: Final answer
    x = 23,859.38

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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.