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Finding the Fourth Proportional to 58,496.76, 87,758.10 and 27,315

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Solution

The fourth proportional to 58,496.76, 87,758.10 and 27,315 is: 40,978.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,496.76 : 87,758.10 = 27,315 : x
  2. Step 2: Convert to fraction form
    58,496.76/87,758.10 = 27,315/x
  3. Step 3: Cross multiply
    58,496.76x = 87,758.10 × 27,315
  4. Step 4: Simplify right side
    58,496.76x = 2,397,112,501.50
  5. Step 5: Solve for x
    x = 2,397,112,501.50/58,496.76
  6. Step 6: Final answer
    x = 40,978.55

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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.