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Finding the Fourth Proportional to 35,501.70, 53,233.95 and 10,538.34

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Solution

The fourth proportional to 35,501.70, 53,233.95 and 10,538.34 is: 15,801.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,501.70 : 53,233.95 = 10,538.34 : x
  2. Step 2: Convert to fraction form
    35,501.70/53,233.95 = 10,538.34/x
  3. Step 3: Cross multiply
    35,501.70x = 53,233.95 × 10,538.34
  4. Step 4: Simplify right side
    35,501.70x = 560,997,464.64
  5. Step 5: Solve for x
    x = 560,997,464.64/35,501.70
  6. Step 6: Final answer
    x = 15,801.99

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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.