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Finding the Fourth Proportional to 29,968.68, 44,978.94 and 11,513.64

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Solution

The fourth proportional to 29,968.68, 44,978.94 and 11,513.64 is: 17,280.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,968.68 : 44,978.94 = 11,513.64 : x
  2. Step 2: Convert to fraction form
    29,968.68/44,978.94 = 11,513.64/x
  3. Step 3: Cross multiply
    29,968.68x = 44,978.94 × 11,513.64
  4. Step 4: Simplify right side
    29,968.68x = 517,871,322.74
  5. Step 5: Solve for x
    x = 517,871,322.74/29,968.68
  6. Step 6: Final answer
    x = 17,280.42

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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.