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Finding the Fourth Proportional to 52,285.40, 78,428.36 and 12,842.52

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Solution

The fourth proportional to 52,285.40, 78,428.36 and 12,842.52 is: 19,263.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,285.40 : 78,428.36 = 12,842.52 : x
  2. Step 2: Convert to fraction form
    52,285.40/78,428.36 = 12,842.52/x
  3. Step 3: Cross multiply
    52,285.40x = 78,428.36 × 12,842.52
  4. Step 4: Simplify right side
    52,285.40x = 1,007,217,717.65
  5. Step 5: Solve for x
    x = 1,007,217,717.65/52,285.40
  6. Step 6: Final answer
    x = 19,263.84

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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.