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Finding the Fourth Proportional to 29,827, 44,740.86 and 13,411

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Solution

The fourth proportional to 29,827, 44,740.86 and 13,411 is: 20,116.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,827 : 44,740.86 = 13,411 : x
  2. Step 2: Convert to fraction form
    29,827/44,740.86 = 13,411/x
  3. Step 3: Cross multiply
    29,827x = 44,740.86 × 13,411
  4. Step 4: Simplify right side
    29,827x = 600,019,673.46
  5. Step 5: Solve for x
    x = 600,019,673.46/29,827
  6. Step 6: Final answer
    x = 20,116.66

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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.