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Finding the Fourth Proportional to 87,986.72, 131,980.16 and 21,426.32

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Solution

The fourth proportional to 87,986.72, 131,980.16 and 21,426.32 is: 32,139.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,986.72 : 131,980.16 = 21,426.32 : x
  2. Step 2: Convert to fraction form
    87,986.72/131,980.16 = 21,426.32/x
  3. Step 3: Cross multiply
    87,986.72x = 131,980.16 × 21,426.32
  4. Step 4: Simplify right side
    87,986.72x = 2,827,849,141.81
  5. Step 5: Solve for x
    x = 2,827,849,141.81/87,986.72
  6. Step 6: Final answer
    x = 32,139.50

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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.