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Finding the Fourth Proportional to 34,283.47, 47,313.62 and 19,177.55

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Solution

The fourth proportional to 34,283.47, 47,313.62 and 19,177.55 is: 26,466.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,283.47 : 47,313.62 = 19,177.55 : x
  2. Step 2: Convert to fraction form
    34,283.47/47,313.62 = 19,177.55/x
  3. Step 3: Cross multiply
    34,283.47x = 47,313.62 × 19,177.55
  4. Step 4: Simplify right side
    34,283.47x = 907,359,313.23
  5. Step 5: Solve for x
    x = 907,359,313.23/34,283.47
  6. Step 6: Final answer
    x = 26,466.38

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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.