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Finding the Fourth Proportional to 35,825.10, 53,740.08 and 9,529.26

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Solution

The fourth proportional to 35,825.10, 53,740.08 and 9,529.26 is: 14,294.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,825.10 : 53,740.08 = 9,529.26 : x
  2. Step 2: Convert to fraction form
    35,825.10/53,740.08 = 9,529.26/x
  3. Step 3: Cross multiply
    35,825.10x = 53,740.08 × 9,529.26
  4. Step 4: Simplify right side
    35,825.10x = 512,103,194.74
  5. Step 5: Solve for x
    x = 512,103,194.74/35,825.10
  6. Step 6: Final answer
    x = 14,294.54

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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.