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Finding the Fourth Proportional to 29,877.50, 44,816.25 and 9,101

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Solution

The fourth proportional to 29,877.50, 44,816.25 and 9,101 is: 13,651.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,877.50 : 44,816.25 = 9,101 : x
  2. Step 2: Convert to fraction form
    29,877.50/44,816.25 = 9,101/x
  3. Step 3: Cross multiply
    29,877.50x = 44,816.25 × 9,101
  4. Step 4: Simplify right side
    29,877.50x = 407,872,691.25
  5. Step 5: Solve for x
    x = 407,872,691.25/29,877.50
  6. Step 6: Final answer
    x = 13,651.50

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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.