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Finding the Fourth Proportional to 30,478.72, 42,064.14 and 17,053.38

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Solution

The fourth proportional to 30,478.72, 42,064.14 and 17,053.38 is: 23,535.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,478.72 : 42,064.14 = 17,053.38 : x
  2. Step 2: Convert to fraction form
    30,478.72/42,064.14 = 17,053.38/x
  3. Step 3: Cross multiply
    30,478.72x = 42,064.14 × 17,053.38
  4. Step 4: Simplify right side
    30,478.72x = 717,335,763.79
  5. Step 5: Solve for x
    x = 717,335,763.79/30,478.72
  6. Step 6: Final answer
    x = 23,535.63

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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.