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Finding the Fourth Proportional to 29,319.84, 43,978.32 and 9,607.68

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Solution

The fourth proportional to 29,319.84, 43,978.32 and 9,607.68 is: 14,411.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,319.84 : 43,978.32 = 9,607.68 : x
  2. Step 2: Convert to fraction form
    29,319.84/43,978.32 = 9,607.68/x
  3. Step 3: Cross multiply
    29,319.84x = 43,978.32 × 9,607.68
  4. Step 4: Simplify right side
    29,319.84x = 422,529,625.50
  5. Step 5: Solve for x
    x = 422,529,625.50/29,319.84
  6. Step 6: Final answer
    x = 14,411.05

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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.