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Finding the Fourth Proportional to 114,967.64, 172,458.72 and 36,084.98

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Solution

The fourth proportional to 114,967.64, 172,458.72 and 36,084.98 is: 54,129.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,967.64 : 172,458.72 = 36,084.98 : x
  2. Step 2: Convert to fraction form
    114,967.64/172,458.72 = 36,084.98/x
  3. Step 3: Cross multiply
    114,967.64x = 172,458.72 × 36,084.98
  4. Step 4: Simplify right side
    114,967.64x = 6,223,169,462.03
  5. Step 5: Solve for x
    x = 6,223,169,462.03/114,967.64
  6. Step 6: Final answer
    x = 54,129.75

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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.