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Finding the Fourth Proportional to 30,732.31, 46,070.97 and 12,007.99

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Solution

The fourth proportional to 30,732.31, 46,070.97 and 12,007.99 is: 18,001.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,732.31 : 46,070.97 = 12,007.99 : x
  2. Step 2: Convert to fraction form
    30,732.31/46,070.97 = 12,007.99/x
  3. Step 3: Cross multiply
    30,732.31x = 46,070.97 × 12,007.99
  4. Step 4: Simplify right side
    30,732.31x = 553,219,747.05
  5. Step 5: Solve for x
    x = 553,219,747.05/30,732.31
  6. Step 6: Final answer
    x = 18,001.24

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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.