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Finding the Fourth Proportional to 52,357.76, 78,506.87 and 35,737.91

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Solution

The fourth proportional to 52,357.76, 78,506.87 and 35,737.91 is: 53,586.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,357.76 : 78,506.87 = 35,737.91 : x
  2. Step 2: Convert to fraction form
    52,357.76/78,506.87 = 35,737.91/x
  3. Step 3: Cross multiply
    52,357.76x = 78,506.87 × 35,737.91
  4. Step 4: Simplify right side
    52,357.76x = 2,805,670,883.22
  5. Step 5: Solve for x
    x = 2,805,670,883.22/52,357.76
  6. Step 6: Final answer
    x = 53,586.54

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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.