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Finding the Fourth Proportional to 55,906.10, 83,859.15 and 38,410.10

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Solution

The fourth proportional to 55,906.10, 83,859.15 and 38,410.10 is: 57,615.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,906.10 : 83,859.15 = 38,410.10 : x
  2. Step 2: Convert to fraction form
    55,906.10/83,859.15 = 38,410.10/x
  3. Step 3: Cross multiply
    55,906.10x = 83,859.15 × 38,410.10
  4. Step 4: Simplify right side
    55,906.10x = 3,221,038,337.42
  5. Step 5: Solve for x
    x = 3,221,038,337.42/55,906.10
  6. Step 6: Final answer
    x = 57,615.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.