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Finding the Fourth Proportional to 35,704.90, 53,506.05 and 20,089.54

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Solution

The fourth proportional to 35,704.90, 53,506.05 and 20,089.54 is: 30,105.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,704.90 : 53,506.05 = 20,089.54 : x
  2. Step 2: Convert to fraction form
    35,704.90/53,506.05 = 20,089.54/x
  3. Step 3: Cross multiply
    35,704.90x = 53,506.05 × 20,089.54
  4. Step 4: Simplify right side
    35,704.90x = 1,074,911,931.72
  5. Step 5: Solve for x
    x = 1,074,911,931.72/35,704.90
  6. Step 6: Final answer
    x = 30,105.45

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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.