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Finding the Fourth Proportional to 114,539.64, 171,809.46 and 35,661.84

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Solution

The fourth proportional to 114,539.64, 171,809.46 and 35,661.84 is: 53,492.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,539.64 : 171,809.46 = 35,661.84 : x
  2. Step 2: Convert to fraction form
    114,539.64/171,809.46 = 35,661.84/x
  3. Step 3: Cross multiply
    114,539.64x = 171,809.46 × 35,661.84
  4. Step 4: Simplify right side
    114,539.64x = 6,127,041,473.01
  5. Step 5: Solve for x
    x = 6,127,041,473.01/114,539.64
  6. Step 6: Final answer
    x = 53,492.76

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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.