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Finding the Fourth Proportional to 34,415.45, 47,492.57 and 19,307.84

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Solution

The fourth proportional to 34,415.45, 47,492.57 and 19,307.84 is: 26,644.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,415.45 : 47,492.57 = 19,307.84 : x
  2. Step 2: Convert to fraction form
    34,415.45/47,492.57 = 19,307.84/x
  3. Step 3: Cross multiply
    34,415.45x = 47,492.57 × 19,307.84
  4. Step 4: Simplify right side
    34,415.45x = 916,978,608.75
  5. Step 5: Solve for x
    x = 916,978,608.75/34,415.45
  6. Step 6: Final answer
    x = 26,644.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.