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Finding the Fourth Proportional to 102,002.70, 153,004.05 and 31,889.10

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Solution

The fourth proportional to 102,002.70, 153,004.05 and 31,889.10 is: 47,833.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,002.70 : 153,004.05 = 31,889.10 : x
  2. Step 2: Convert to fraction form
    102,002.70/153,004.05 = 31,889.10/x
  3. Step 3: Cross multiply
    102,002.70x = 153,004.05 × 31,889.10
  4. Step 4: Simplify right side
    102,002.70x = 4,879,161,450.86
  5. Step 5: Solve for x
    x = 4,879,161,450.86/102,002.70
  6. Step 6: Final answer
    x = 47,833.65

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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.