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Finding the Fourth Proportional to 30,970.38, 46,440.95 and 12,003.90

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Solution

The fourth proportional to 30,970.38, 46,440.95 and 12,003.90 is: 18,000.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,970.38 : 46,440.95 = 12,003.90 : x
  2. Step 2: Convert to fraction form
    30,970.38/46,440.95 = 12,003.90/x
  3. Step 3: Cross multiply
    30,970.38x = 46,440.95 × 12,003.90
  4. Step 4: Simplify right side
    30,970.38x = 557,472,285.53
  5. Step 5: Solve for x
    x = 557,472,285.53/30,970.38
  6. Step 6: Final answer
    x = 18,000.17

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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.