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Finding the Fourth Proportional to 77,869, 116,877.34 and 48,197.08

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Solution

The fourth proportional to 77,869, 116,877.34 and 48,197.08 is: 72,341.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,869 : 116,877.34 = 48,197.08 : x
  2. Step 2: Convert to fraction form
    77,869/116,877.34 = 48,197.08/x
  3. Step 3: Cross multiply
    77,869x = 116,877.34 × 48,197.08
  4. Step 4: Simplify right side
    77,869x = 5,633,146,506.17
  5. Step 5: Solve for x
    x = 5,633,146,506.17/77,869
  6. Step 6: Final answer
    x = 72,341.32

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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.