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Finding the Fourth Proportional to 114,032.82, 157,364.90 and 63,731.82

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Solution

The fourth proportional to 114,032.82, 157,364.90 and 63,731.82 is: 87,949.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,032.82 : 157,364.90 = 63,731.82 : x
  2. Step 2: Convert to fraction form
    114,032.82/157,364.90 = 63,731.82/x
  3. Step 3: Cross multiply
    114,032.82x = 157,364.90 × 63,731.82
  4. Step 4: Simplify right side
    114,032.82x = 10,029,152,230.57
  5. Step 5: Solve for x
    x = 10,029,152,230.57/114,032.82
  6. Step 6: Final answer
    x = 87,949.70

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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.