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Finding the Fourth Proportional to 29,970.54, 44,978.85 and 11,264.40

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Solution

The fourth proportional to 29,970.54, 44,978.85 and 11,264.40 is: 16,905.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,970.54 : 44,978.85 = 11,264.40 : x
  2. Step 2: Convert to fraction form
    29,970.54/44,978.85 = 11,264.40/x
  3. Step 3: Cross multiply
    29,970.54x = 44,978.85 × 11,264.40
  4. Step 4: Simplify right side
    29,970.54x = 506,659,757.94
  5. Step 5: Solve for x
    x = 506,659,757.94/29,970.54
  6. Step 6: Final answer
    x = 16,905.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.