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Finding the Fourth Proportional to 34,345.96, 47,412 and 22,419.52

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Solution

The fourth proportional to 34,345.96, 47,412 and 22,419.52 is: 30,948.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,345.96 : 47,412 = 22,419.52 : x
  2. Step 2: Convert to fraction form
    34,345.96/47,412 = 22,419.52/x
  3. Step 3: Cross multiply
    34,345.96x = 47,412 × 22,419.52
  4. Step 4: Simplify right side
    34,345.96x = 1,062,954,282.24
  5. Step 5: Solve for x
    x = 1,062,954,282.24/34,345.96
  6. Step 6: Final answer
    x = 30,948.45

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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.