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Finding the Fourth Proportional to 34,296.24, 47,330.65 and 19,188

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Solution

The fourth proportional to 34,296.24, 47,330.65 and 19,188 is: 26,480.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,296.24 : 47,330.65 = 19,188 : x
  2. Step 2: Convert to fraction form
    34,296.24/47,330.65 = 19,188/x
  3. Step 3: Cross multiply
    34,296.24x = 47,330.65 × 19,188
  4. Step 4: Simplify right side
    34,296.24x = 908,180,512.20
  5. Step 5: Solve for x
    x = 908,180,512.20/34,296.24
  6. Step 6: Final answer
    x = 26,480.47

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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.