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Finding the Fourth Proportional to 114,632.50, 171,893.46 and 48,054.76

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Solution

The fourth proportional to 114,632.50, 171,893.46 and 48,054.76 is: 72,058.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,632.50 : 171,893.46 = 48,054.76 : x
  2. Step 2: Convert to fraction form
    114,632.50/171,893.46 = 48,054.76/x
  3. Step 3: Cross multiply
    114,632.50x = 171,893.46 × 48,054.76
  4. Step 4: Simplify right side
    114,632.50x = 8,260,298,965.87
  5. Step 5: Solve for x
    x = 8,260,298,965.87/114,632.50
  6. Step 6: Final answer
    x = 72,058.96

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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.