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Finding the Fourth Proportional to 30,886.38, 42,623.42 and 16,739.46

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Solution

The fourth proportional to 30,886.38, 42,623.42 and 16,739.46 is: 23,100.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,886.38 : 42,623.42 = 16,739.46 : x
  2. Step 2: Convert to fraction form
    30,886.38/42,623.42 = 16,739.46/x
  3. Step 3: Cross multiply
    30,886.38x = 42,623.42 × 16,739.46
  4. Step 4: Simplify right side
    30,886.38x = 713,492,950.46
  5. Step 5: Solve for x
    x = 713,492,950.46/30,886.38
  6. Step 6: Final answer
    x = 23,100.57

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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.