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Finding the Fourth Proportional to 114,340.42, 171,528.81 and 35,438.32

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Solution

The fourth proportional to 114,340.42, 171,528.81 and 35,438.32 is: 53,163.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,340.42 : 171,528.81 = 35,438.32 : x
  2. Step 2: Convert to fraction form
    114,340.42/171,528.81 = 35,438.32/x
  3. Step 3: Cross multiply
    114,340.42x = 171,528.81 × 35,438.32
  4. Step 4: Simplify right side
    114,340.42x = 6,078,692,858.00
  5. Step 5: Solve for x
    x = 6,078,692,858.00/114,340.42
  6. Step 6: Final answer
    x = 53,163.11

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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.