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Finding the Fourth Proportional to 51,977.50, 78,097.64 and 49,875.62

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Solution

The fourth proportional to 51,977.50, 78,097.64 and 49,875.62 is: 74,939.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,977.50 : 78,097.64 = 49,875.62 : x
  2. Step 2: Convert to fraction form
    51,977.50/78,097.64 = 49,875.62/x
  3. Step 3: Cross multiply
    51,977.50x = 78,097.64 × 49,875.62
  4. Step 4: Simplify right side
    51,977.50x = 3,895,167,575.67
  5. Step 5: Solve for x
    x = 3,895,167,575.67/51,977.50
  6. Step 6: Final answer
    x = 74,939.50

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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.