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Finding the Fourth Proportional to 31,018.05, 46,520.02 and 8,830.93

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Solution

The fourth proportional to 31,018.05, 46,520.02 and 8,830.93 is: 13,244.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,018.05 : 46,520.02 = 8,830.93 : x
  2. Step 2: Convert to fraction form
    31,018.05/46,520.02 = 8,830.93/x
  3. Step 3: Cross multiply
    31,018.05x = 46,520.02 × 8,830.93
  4. Step 4: Simplify right side
    31,018.05x = 410,815,040.22
  5. Step 5: Solve for x
    x = 410,815,040.22/31,018.05
  6. Step 6: Final answer
    x = 13,244.39

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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.