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Finding the Fourth Proportional to 30,666.96, 42,315.66 and 17,235.72

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Solution

The fourth proportional to 30,666.96, 42,315.66 and 17,235.72 is: 23,782.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,666.96 : 42,315.66 = 17,235.72 : x
  2. Step 2: Convert to fraction form
    30,666.96/42,315.66 = 17,235.72/x
  3. Step 3: Cross multiply
    30,666.96x = 42,315.66 × 17,235.72
  4. Step 4: Simplify right side
    30,666.96x = 729,340,867.38
  5. Step 5: Solve for x
    x = 729,340,867.38/30,666.96
  6. Step 6: Final answer
    x = 23,782.63

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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.