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Finding the Fourth Proportional to 86,829.84, 119,784.96 and 51,019.20

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Solution

The fourth proportional to 86,829.84, 119,784.96 and 51,019.20 is: 70,382.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,829.84 : 119,784.96 = 51,019.20 : x
  2. Step 2: Convert to fraction form
    86,829.84/119,784.96 = 51,019.20/x
  3. Step 3: Cross multiply
    86,829.84x = 119,784.96 × 51,019.20
  4. Step 4: Simplify right side
    86,829.84x = 6,111,332,831.23
  5. Step 5: Solve for x
    x = 6,111,332,831.23/86,829.84
  6. Step 6: Final answer
    x = 70,382.86

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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.