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Finding the Fourth Proportional to 29,878.62, 44,817.94 and 9,102.30

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Solution

The fourth proportional to 29,878.62, 44,817.94 and 9,102.30 is: 13,653.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,878.62 : 44,817.94 = 9,102.30 : x
  2. Step 2: Convert to fraction form
    29,878.62/44,817.94 = 9,102.30/x
  3. Step 3: Cross multiply
    29,878.62x = 44,817.94 × 9,102.30
  4. Step 4: Simplify right side
    29,878.62x = 407,946,335.26
  5. Step 5: Solve for x
    x = 407,946,335.26/29,878.62
  6. Step 6: Final answer
    x = 13,653.45

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1.5x scale

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.