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Finding the Fourth Proportional to 29,878.50, 44,817.75 and 9,102

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Solution

The fourth proportional to 29,878.50, 44,817.75 and 9,102 is: 13,653

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,878.50 : 44,817.75 = 9,102 : x
  2. Step 2: Convert to fraction form
    29,878.50/44,817.75 = 9,102/x
  3. Step 3: Cross multiply
    29,878.50x = 44,817.75 × 9,102
  4. Step 4: Simplify right side
    29,878.50x = 407,931,160.50
  5. Step 5: Solve for x
    x = 407,931,160.50/29,878.50
  6. Step 6: Final answer
    x = 13,653

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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.