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Finding the Fourth Proportional to 34,307.54, 51,408.15 and 23,798

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Solution

The fourth proportional to 34,307.54, 51,408.15 and 23,798 is: 35,660.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,307.54 : 51,408.15 = 23,798 : x
  2. Step 2: Convert to fraction form
    34,307.54/51,408.15 = 23,798/x
  3. Step 3: Cross multiply
    34,307.54x = 51,408.15 × 23,798
  4. Step 4: Simplify right side
    34,307.54x = 1,223,411,153.70
  5. Step 5: Solve for x
    x = 1,223,411,153.70/34,307.54
  6. Step 6: Final answer
    x = 35,660.12

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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.