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Finding the Fourth Proportional to 52,234.72, 72,083.84 and 28,362

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Solution

The fourth proportional to 52,234.72, 72,083.84 and 28,362 is: 39,139.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,234.72 : 72,083.84 = 28,362 : x
  2. Step 2: Convert to fraction form
    52,234.72/72,083.84 = 28,362/x
  3. Step 3: Cross multiply
    52,234.72x = 72,083.84 × 28,362
  4. Step 4: Simplify right side
    52,234.72x = 2,044,441,870.08
  5. Step 5: Solve for x
    x = 2,044,441,870.08/52,234.72
  6. Step 6: Final answer
    x = 39,139.52

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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.