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Finding the Fourth Proportional to 29,915.12, 44,871.06 and 9,137

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Solution

The fourth proportional to 29,915.12, 44,871.06 and 9,137 is: 13,705.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,915.12 : 44,871.06 = 9,137 : x
  2. Step 2: Convert to fraction form
    29,915.12/44,871.06 = 9,137/x
  3. Step 3: Cross multiply
    29,915.12x = 44,871.06 × 9,137
  4. Step 4: Simplify right side
    29,915.12x = 409,986,875.22
  5. Step 5: Solve for x
    x = 409,986,875.22/29,915.12
  6. Step 6: Final answer
    x = 13,705.01

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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.