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Finding the Fourth Proportional to 102,002.46, 153,025.29 and 31,887.06

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Solution

The fourth proportional to 102,002.46, 153,025.29 and 31,887.06 is: 47,837.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,002.46 : 153,025.29 = 31,887.06 : x
  2. Step 2: Convert to fraction form
    102,002.46/153,025.29 = 31,887.06/x
  3. Step 3: Cross multiply
    102,002.46x = 153,025.29 × 31,887.06
  4. Step 4: Simplify right side
    102,002.46x = 4,879,526,603.75
  5. Step 5: Solve for x
    x = 4,879,526,603.75/102,002.46
  6. Step 6: Final answer
    x = 47,837.34

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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.