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Finding the Fourth Proportional to 59,802.30, 82,512.27 and 38,556

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Solution

The fourth proportional to 59,802.30, 82,512.27 and 38,556 is: 53,197.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,802.30 : 82,512.27 = 38,556 : x
  2. Step 2: Convert to fraction form
    59,802.30/82,512.27 = 38,556/x
  3. Step 3: Cross multiply
    59,802.30x = 82,512.27 × 38,556
  4. Step 4: Simplify right side
    59,802.30x = 3,181,343,082.12
  5. Step 5: Solve for x
    x = 3,181,343,082.12/59,802.30
  6. Step 6: Final answer
    x = 53,197.67

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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.