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Finding the Fourth Proportional to 89,915.32, 134,890.32 and 34,507

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Solution

The fourth proportional to 89,915.32, 134,890.32 and 34,507 is: 51,767.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,915.32 : 134,890.32 = 34,507 : x
  2. Step 2: Convert to fraction form
    89,915.32/134,890.32 = 34,507/x
  3. Step 3: Cross multiply
    89,915.32x = 134,890.32 × 34,507
  4. Step 4: Simplify right side
    89,915.32x = 4,654,660,272.24
  5. Step 5: Solve for x
    x = 4,654,660,272.24/89,915.32
  6. Step 6: Final answer
    x = 51,767.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.