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Finding the Fourth Proportional to 30,893.64, 46,313.06 and 15,090

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Solution

The fourth proportional to 30,893.64, 46,313.06 and 15,090 is: 22,621.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,893.64 : 46,313.06 = 15,090 : x
  2. Step 2: Convert to fraction form
    30,893.64/46,313.06 = 15,090/x
  3. Step 3: Cross multiply
    30,893.64x = 46,313.06 × 15,090
  4. Step 4: Simplify right side
    30,893.64x = 698,863,999.95
  5. Step 5: Solve for x
    x = 698,863,999.95/30,893.64
  6. Step 6: Final answer
    x = 22,621.61

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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.