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Finding the Fourth Proportional to 52,117.20, 78,175.80 and 46,576.80

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Solution

The fourth proportional to 52,117.20, 78,175.80 and 46,576.80 is: 69,865.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,117.20 : 78,175.80 = 46,576.80 : x
  2. Step 2: Convert to fraction form
    52,117.20/78,175.80 = 46,576.80/x
  3. Step 3: Cross multiply
    52,117.20x = 78,175.80 × 46,576.80
  4. Step 4: Simplify right side
    52,117.20x = 3,641,178,601.44
  5. Step 5: Solve for x
    x = 3,641,178,601.44/52,117.20
  6. Step 6: Final answer
    x = 69,865.20

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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.