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Finding the Fourth Proportional to 86,076, 118,783.35 and 47,834.87

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Solution

The fourth proportional to 86,076, 118,783.35 and 47,834.87 is: 66,011.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,076 : 118,783.35 = 47,834.87 : x
  2. Step 2: Convert to fraction form
    86,076/118,783.35 = 47,834.87/x
  3. Step 3: Cross multiply
    86,076x = 118,783.35 × 47,834.87
  4. Step 4: Simplify right side
    86,076x = 5,681,986,105.41
  5. Step 5: Solve for x
    x = 5,681,986,105.41/86,076
  6. Step 6: Final answer
    x = 66,011.27

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