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Finding the Fourth Proportional to 34,491, 47,597.64 and 19,587

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Solution

The fourth proportional to 34,491, 47,597.64 and 19,587 is: 27,030.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,491 : 47,597.64 = 19,587 : x
  2. Step 2: Convert to fraction form
    34,491/47,597.64 = 19,587/x
  3. Step 3: Cross multiply
    34,491x = 47,597.64 × 19,587
  4. Step 4: Simplify right side
    34,491x = 932,294,974.68
  5. Step 5: Solve for x
    x = 932,294,974.68/34,491
  6. Step 6: Final answer
    x = 27,030.09

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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.