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Finding the Fourth Proportional to 52,453.49, 78,748.82 and 31,145.09

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Solution

The fourth proportional to 52,453.49, 78,748.82 and 31,145.09 is: 46,758.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,453.49 : 78,748.82 = 31,145.09 : x
  2. Step 2: Convert to fraction form
    52,453.49/78,748.82 = 31,145.09/x
  3. Step 3: Cross multiply
    52,453.49x = 78,748.82 × 31,145.09
  4. Step 4: Simplify right side
    52,453.49x = 2,452,638,536.82
  5. Step 5: Solve for x
    x = 2,452,638,536.82/52,453.49
  6. Step 6: Final answer
    x = 46,758.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.