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Finding the Fourth Proportional to 42,561.92, 63,853.22 and 12,980.28

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Solution

The fourth proportional to 42,561.92, 63,853.22 and 12,980.28 is: 19,473.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,561.92 : 63,853.22 = 12,980.28 : x
  2. Step 2: Convert to fraction form
    42,561.92/63,853.22 = 12,980.28/x
  3. Step 3: Cross multiply
    42,561.92x = 63,853.22 × 12,980.28
  4. Step 4: Simplify right side
    42,561.92x = 828,832,674.50
  5. Step 5: Solve for x
    x = 828,832,674.50/42,561.92
  6. Step 6: Final answer
    x = 19,473.57

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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.