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Finding the Fourth Proportional to 30,456.26, 42,038.54 and 17,712.42

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Solution

The fourth proportional to 30,456.26, 42,038.54 and 17,712.42 is: 24,448.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,456.26 : 42,038.54 = 17,712.42 : x
  2. Step 2: Convert to fraction form
    30,456.26/42,038.54 = 17,712.42/x
  3. Step 3: Cross multiply
    30,456.26x = 42,038.54 × 17,712.42
  4. Step 4: Simplify right side
    30,456.26x = 744,604,188.10
  5. Step 5: Solve for x
    x = 744,604,188.10/30,456.26
  6. Step 6: Final answer
    x = 24,448.32

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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.