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Finding the Fourth Proportional to 35,688.77, 53,529 and 9,395.56

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Solution

The fourth proportional to 35,688.77, 53,529 and 9,395.56 is: 14,092.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,688.77 : 53,529 = 9,395.56 : x
  2. Step 2: Convert to fraction form
    35,688.77/53,529 = 9,395.56/x
  3. Step 3: Cross multiply
    35,688.77x = 53,529 × 9,395.56
  4. Step 4: Simplify right side
    35,688.77x = 502,934,797.42
  5. Step 5: Solve for x
    x = 502,934,797.42/35,688.77
  6. Step 6: Final answer
    x = 14,092.24

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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.