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Finding the Fourth Proportional to 42,444.72, 63,674.92 and 13,983.28

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Solution

The fourth proportional to 42,444.72, 63,674.92 and 13,983.28 is: 20,977.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,444.72 : 63,674.92 = 13,983.28 : x
  2. Step 2: Convert to fraction form
    42,444.72/63,674.92 = 13,983.28/x
  3. Step 3: Cross multiply
    42,444.72x = 63,674.92 × 13,983.28
  4. Step 4: Simplify right side
    42,444.72x = 890,384,235.34
  5. Step 5: Solve for x
    x = 890,384,235.34/42,444.72
  6. Step 6: Final answer
    x = 20,977.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.