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Finding the Fourth Proportional to 114,322.56, 171,492.14 and 39,441.70

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Solution

The fourth proportional to 114,322.56, 171,492.14 and 39,441.70 is: 59,165.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,322.56 : 171,492.14 = 39,441.70 : x
  2. Step 2: Convert to fraction form
    114,322.56/171,492.14 = 39,441.70/x
  3. Step 3: Cross multiply
    114,322.56x = 171,492.14 × 39,441.70
  4. Step 4: Simplify right side
    114,322.56x = 6,763,941,538.24
  5. Step 5: Solve for x
    x = 6,763,941,538.24/114,322.56
  6. Step 6: Final answer
    x = 59,165.41

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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.