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Finding the Fourth Proportional to 34,284.47, 47,315 and 19,178.55

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Solution

The fourth proportional to 34,284.47, 47,315 and 19,178.55 is: 26,467.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,284.47 : 47,315 = 19,178.55 : x
  2. Step 2: Convert to fraction form
    34,284.47/47,315 = 19,178.55/x
  3. Step 3: Cross multiply
    34,284.47x = 47,315 × 19,178.55
  4. Step 4: Simplify right side
    34,284.47x = 907,433,093.25
  5. Step 5: Solve for x
    x = 907,433,093.25/34,284.47
  6. Step 6: Final answer
    x = 26,467.76

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