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Finding the Fourth Proportional to 34,632.16, 47,808.36 and 20,290

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Solution

The fourth proportional to 34,632.16, 47,808.36 and 20,290 is: 28,009.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,632.16 : 47,808.36 = 20,290 : x
  2. Step 2: Convert to fraction form
    34,632.16/47,808.36 = 20,290/x
  3. Step 3: Cross multiply
    34,632.16x = 47,808.36 × 20,290
  4. Step 4: Simplify right side
    34,632.16x = 970,031,624.40
  5. Step 5: Solve for x
    x = 970,031,624.40/34,632.16
  6. Step 6: Final answer
    x = 28,009.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.