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Finding the Fourth Proportional to 34,648.96, 47,823 and 21,894.04

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Solution

The fourth proportional to 34,648.96, 47,823 and 21,894.04 is: 30,218.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,648.96 : 47,823 = 21,894.04 : x
  2. Step 2: Convert to fraction form
    34,648.96/47,823 = 21,894.04/x
  3. Step 3: Cross multiply
    34,648.96x = 47,823 × 21,894.04
  4. Step 4: Simplify right side
    34,648.96x = 1,047,038,674.92
  5. Step 5: Solve for x
    x = 1,047,038,674.92/34,648.96
  6. Step 6: Final answer
    x = 30,218.47

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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.