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Finding the Fourth Proportional to 52,137.95, 71,950.74 and 28,265

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Solution

The fourth proportional to 52,137.95, 71,950.74 and 28,265 is: 39,005.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,137.95 : 71,950.74 = 28,265 : x
  2. Step 2: Convert to fraction form
    52,137.95/71,950.74 = 28,265/x
  3. Step 3: Cross multiply
    52,137.95x = 71,950.74 × 28,265
  4. Step 4: Simplify right side
    52,137.95x = 2,033,687,666.10
  5. Step 5: Solve for x
    x = 2,033,687,666.10/52,137.95
  6. Step 6: Final answer
    x = 39,005.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.