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Finding the Fourth Proportional to 82,460, 113,749.44 and 58,622.24

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Solution

The fourth proportional to 82,460, 113,749.44 and 58,622.24 is: 80,866.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,460 : 113,749.44 = 58,622.24 : x
  2. Step 2: Convert to fraction form
    82,460/113,749.44 = 58,622.24/x
  3. Step 3: Cross multiply
    82,460x = 113,749.44 × 58,622.24
  4. Step 4: Simplify right side
    82,460x = 6,668,246,971.55
  5. Step 5: Solve for x
    x = 6,668,246,971.55/82,460
  6. Step 6: Final answer
    x = 80,866.44

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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.