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Finding the Fourth Proportional to 102,351.57, 153,464.80 and 49,059.85

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Solution

The fourth proportional to 102,351.57, 153,464.80 and 49,059.85 is: 73,559.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,351.57 : 153,464.80 = 49,059.85 : x
  2. Step 2: Convert to fraction form
    102,351.57/153,464.80 = 49,059.85/x
  3. Step 3: Cross multiply
    102,351.57x = 153,464.80 × 49,059.85
  4. Step 4: Simplify right side
    102,351.57x = 7,528,960,068.28
  5. Step 5: Solve for x
    x = 7,528,960,068.28/102,351.57
  6. Step 6: Final answer
    x = 73,559.79

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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.