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Finding the Fourth Proportional to 30,732, 46,087.72 and 12,007.18

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Solution

The fourth proportional to 30,732, 46,087.72 and 12,007.18 is: 18,006.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,732 : 46,087.72 = 12,007.18 : x
  2. Step 2: Convert to fraction form
    30,732/46,087.72 = 12,007.18/x
  3. Step 3: Cross multiply
    30,732x = 46,087.72 × 12,007.18
  4. Step 4: Simplify right side
    30,732x = 553,383,549.83
  5. Step 5: Solve for x
    x = 553,383,549.83/30,732
  6. Step 6: Final answer
    x = 18,006.75

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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.