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Finding the Fourth Proportional to 58,515.12, 87,774.84 and 27,342

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Solution

The fourth proportional to 58,515.12, 87,774.84 and 27,342 is: 41,014.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,515.12 : 87,774.84 = 27,342 : x
  2. Step 2: Convert to fraction form
    58,515.12/87,774.84 = 27,342/x
  3. Step 3: Cross multiply
    58,515.12x = 87,774.84 × 27,342
  4. Step 4: Simplify right side
    58,515.12x = 2,399,939,675.28
  5. Step 5: Solve for x
    x = 2,399,939,675.28/58,515.12
  6. Step 6: Final answer
    x = 41,014.01

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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.