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Finding the Fourth Proportional to 30,812.59, 42,521.33 and 16,665.40

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Solution

The fourth proportional to 30,812.59, 42,521.33 and 16,665.40 is: 22,998.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,812.59 : 42,521.33 = 16,665.40 : x
  2. Step 2: Convert to fraction form
    30,812.59/42,521.33 = 16,665.40/x
  3. Step 3: Cross multiply
    30,812.59x = 42,521.33 × 16,665.40
  4. Step 4: Simplify right side
    30,812.59x = 708,634,760.38
  5. Step 5: Solve for x
    x = 708,634,760.38/30,812.59
  6. Step 6: Final answer
    x = 22,998.22

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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.