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Finding the Fourth Proportional to 30,957.62, 42,721.74 and 16,810.46

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Solution

The fourth proportional to 30,957.62, 42,721.74 and 16,810.46 is: 23,198.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,957.62 : 42,721.74 = 16,810.46 : x
  2. Step 2: Convert to fraction form
    30,957.62/42,721.74 = 16,810.46/x
  3. Step 3: Cross multiply
    30,957.62x = 42,721.74 × 16,810.46
  4. Step 4: Simplify right side
    30,957.62x = 718,172,101.40
  5. Step 5: Solve for x
    x = 718,172,101.40/30,957.62
  6. Step 6: Final answer
    x = 23,198.56

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1.5x scale

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.