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Finding the Fourth Proportional to 35,828.67, 53,742.94 and 9,533.42

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Solution

The fourth proportional to 35,828.67, 53,742.94 and 9,533.42 is: 14,300.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,828.67 : 53,742.94 = 9,533.42 : x
  2. Step 2: Convert to fraction form
    35,828.67/53,742.94 = 9,533.42/x
  3. Step 3: Cross multiply
    35,828.67x = 53,742.94 × 9,533.42
  4. Step 4: Simplify right side
    35,828.67x = 512,354,019.05
  5. Step 5: Solve for x
    x = 512,354,019.05/35,828.67
  6. Step 6: Final answer
    x = 14,300.11

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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.