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Finding the Fourth Proportional to 86,527.36, 119,385.12 and 50,698.16

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Solution

The fourth proportional to 86,527.36, 119,385.12 and 50,698.16 is: 69,950.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,527.36 : 119,385.12 = 50,698.16 : x
  2. Step 2: Convert to fraction form
    86,527.36/119,385.12 = 50,698.16/x
  3. Step 3: Cross multiply
    86,527.36x = 119,385.12 × 50,698.16
  4. Step 4: Simplify right side
    86,527.36x = 6,052,605,915.38
  5. Step 5: Solve for x
    x = 6,052,605,915.38/86,527.36
  6. Step 6: Final answer
    x = 69,950.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.