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Finding the Fourth Proportional to 102,915.53, 154,351.69 and 29,026.25

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Solution

The fourth proportional to 102,915.53, 154,351.69 and 29,026.25 is: 43,533.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,915.53 : 154,351.69 = 29,026.25 : x
  2. Step 2: Convert to fraction form
    102,915.53/154,351.69 = 29,026.25/x
  3. Step 3: Cross multiply
    102,915.53x = 154,351.69 × 29,026.25
  4. Step 4: Simplify right side
    102,915.53x = 4,480,250,741.86
  5. Step 5: Solve for x
    x = 4,480,250,741.86/102,915.53
  6. Step 6: Final answer
    x = 43,533.28

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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.