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Finding the Fourth Proportional to 114,463.60, 171,708.20 and 35,577.20

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Solution

The fourth proportional to 114,463.60, 171,708.20 and 35,577.20 is: 53,369.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,463.60 : 171,708.20 = 35,577.20 : x
  2. Step 2: Convert to fraction form
    114,463.60/171,708.20 = 35,577.20/x
  3. Step 3: Cross multiply
    114,463.60x = 171,708.20 × 35,577.20
  4. Step 4: Simplify right side
    114,463.60x = 6,108,896,973.04
  5. Step 5: Solve for x
    x = 6,108,896,973.04/114,463.60
  6. Step 6: Final answer
    x = 53,369.78

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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.