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Finding the Fourth Proportional to 77,865, 116,871.34 and 48,193.08

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Solution

The fourth proportional to 77,865, 116,871.34 and 48,193.08 is: 72,335.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,865 : 116,871.34 = 48,193.08 : x
  2. Step 2: Convert to fraction form
    77,865/116,871.34 = 48,193.08/x
  3. Step 3: Cross multiply
    77,865x = 116,871.34 × 48,193.08
  4. Step 4: Simplify right side
    77,865x = 5,632,389,838.33
  5. Step 5: Solve for x
    x = 5,632,389,838.33/77,865
  6. Step 6: Final answer
    x = 72,335.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.