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Finding the Fourth Proportional to 52,477.20, 78,715.80 and 37,824.30

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Solution

The fourth proportional to 52,477.20, 78,715.80 and 37,824.30 is: 56,736.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,477.20 : 78,715.80 = 37,824.30 : x
  2. Step 2: Convert to fraction form
    52,477.20/78,715.80 = 37,824.30/x
  3. Step 3: Cross multiply
    52,477.20x = 78,715.80 × 37,824.30
  4. Step 4: Simplify right side
    52,477.20x = 2,977,370,033.94
  5. Step 5: Solve for x
    x = 2,977,370,033.94/52,477.20
  6. Step 6: Final answer
    x = 56,736.45

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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.