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Finding the Fourth Proportional to 57,494.16, 86,182.80 and 43,614

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Solution

The fourth proportional to 57,494.16, 86,182.80 and 43,614 is: 65,376.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,494.16 : 86,182.80 = 43,614 : x
  2. Step 2: Convert to fraction form
    57,494.16/86,182.80 = 43,614/x
  3. Step 3: Cross multiply
    57,494.16x = 86,182.80 × 43,614
  4. Step 4: Simplify right side
    57,494.16x = 3,758,776,639.20
  5. Step 5: Solve for x
    x = 3,758,776,639.20/57,494.16
  6. Step 6: Final answer
    x = 65,376.67

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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.