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Finding the Fourth Proportional to 30,671.72, 42,328.64 and 17,061.20

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Solution

The fourth proportional to 30,671.72, 42,328.64 and 17,061.20 is: 23,545.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,671.72 : 42,328.64 = 17,061.20 : x
  2. Step 2: Convert to fraction form
    30,671.72/42,328.64 = 17,061.20/x
  3. Step 3: Cross multiply
    30,671.72x = 42,328.64 × 17,061.20
  4. Step 4: Simplify right side
    30,671.72x = 722,177,392.77
  5. Step 5: Solve for x
    x = 722,177,392.77/30,671.72
  6. Step 6: Final answer
    x = 23,545.38

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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.