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Finding the Fourth Proportional to 52,928.91, 73,039.15 and 31,419.55

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Solution

The fourth proportional to 52,928.91, 73,039.15 and 31,419.55 is: 43,357.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,928.91 : 73,039.15 = 31,419.55 : x
  2. Step 2: Convert to fraction form
    52,928.91/73,039.15 = 31,419.55/x
  3. Step 3: Cross multiply
    52,928.91x = 73,039.15 × 31,419.55
  4. Step 4: Simplify right side
    52,928.91x = 2,294,857,225.38
  5. Step 5: Solve for x
    x = 2,294,857,225.38/52,928.91
  6. Step 6: Final answer
    x = 43,357.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.