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Finding the Fourth Proportional to 103,050.78, 154,598.34 and 31,971.99

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Solution

The fourth proportional to 103,050.78, 154,598.34 and 31,971.99 is: 47,964.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,050.78 : 154,598.34 = 31,971.99 : x
  2. Step 2: Convert to fraction form
    103,050.78/154,598.34 = 31,971.99/x
  3. Step 3: Cross multiply
    103,050.78x = 154,598.34 × 31,971.99
  4. Step 4: Simplify right side
    103,050.78x = 4,942,816,580.50
  5. Step 5: Solve for x
    x = 4,942,816,580.50/103,050.78
  6. Step 6: Final answer
    x = 47,964.86

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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.