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Finding the Fourth Proportional to 30,674.38, 42,319.63 and 20,070.17

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Solution

The fourth proportional to 30,674.38, 42,319.63 and 20,070.17 is: 27,689.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,674.38 : 42,319.63 = 20,070.17 : x
  2. Step 2: Convert to fraction form
    30,674.38/42,319.63 = 20,070.17/x
  3. Step 3: Cross multiply
    30,674.38x = 42,319.63 × 20,070.17
  4. Step 4: Simplify right side
    30,674.38x = 849,362,168.44
  5. Step 5: Solve for x
    x = 849,362,168.44/30,674.38
  6. Step 6: Final answer
    x = 27,689.63

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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.