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Finding the Fourth Proportional to 62,460, 86,194.98 and 34,165.44

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Solution

The fourth proportional to 62,460, 86,194.98 and 34,165.44 is: 47,148.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,460 : 86,194.98 = 34,165.44 : x
  2. Step 2: Convert to fraction form
    62,460/86,194.98 = 34,165.44/x
  3. Step 3: Cross multiply
    62,460x = 86,194.98 × 34,165.44
  4. Step 4: Simplify right side
    62,460x = 2,944,889,417.49
  5. Step 5: Solve for x
    x = 2,944,889,417.49/62,460
  6. Step 6: Final answer
    x = 47,148.41

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1.5x scale

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.