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Finding the Fourth Proportional to 34,179, 47,167.02 and 19,275

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Solution

The fourth proportional to 34,179, 47,167.02 and 19,275 is: 26,599.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,179 : 47,167.02 = 19,275 : x
  2. Step 2: Convert to fraction form
    34,179/47,167.02 = 19,275/x
  3. Step 3: Cross multiply
    34,179x = 47,167.02 × 19,275
  4. Step 4: Simplify right side
    34,179x = 909,144,310.50
  5. Step 5: Solve for x
    x = 909,144,310.50/34,179
  6. Step 6: Final answer
    x = 26,599.50

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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.