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Finding the Fourth Proportional to 30,966.47, 42,737.37 and 18,391.22

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Solution

The fourth proportional to 30,966.47, 42,737.37 and 18,391.22 is: 25,382.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,966.47 : 42,737.37 = 18,391.22 : x
  2. Step 2: Convert to fraction form
    30,966.47/42,737.37 = 18,391.22/x
  3. Step 3: Cross multiply
    30,966.47x = 42,737.37 × 18,391.22
  4. Step 4: Simplify right side
    30,966.47x = 785,992,373.89
  5. Step 5: Solve for x
    x = 785,992,373.89/30,966.47
  6. Step 6: Final answer
    x = 25,382.05

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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.