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Finding the Fourth Proportional to 35,706.90, 53,509.04 and 20,091.54

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Solution

The fourth proportional to 35,706.90, 53,509.04 and 20,091.54 is: 30,108.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,706.90 : 53,509.04 = 20,091.54 : x
  2. Step 2: Convert to fraction form
    35,706.90/53,509.04 = 20,091.54/x
  3. Step 3: Cross multiply
    35,706.90x = 53,509.04 × 20,091.54
  4. Step 4: Simplify right side
    35,706.90x = 1,075,079,017.52
  5. Step 5: Solve for x
    x = 1,075,079,017.52/35,706.90
  6. Step 6: Final answer
    x = 30,108.44

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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.