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Finding the Fourth Proportional to 52,141.30, 78,211.14 and 12,698.08

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Solution

The fourth proportional to 52,141.30, 78,211.14 and 12,698.08 is: 19,046.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,141.30 : 78,211.14 = 12,698.08 : x
  2. Step 2: Convert to fraction form
    52,141.30/78,211.14 = 12,698.08/x
  3. Step 3: Cross multiply
    52,141.30x = 78,211.14 × 12,698.08
  4. Step 4: Simplify right side
    52,141.30x = 993,131,312.61
  5. Step 5: Solve for x
    x = 993,131,312.61/52,141.30
  6. Step 6: Final answer
    x = 19,046.92

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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.