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Finding the Fourth Proportional to 35,522, 53,293.44 and 10,562.24

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Solution

The fourth proportional to 35,522, 53,293.44 and 10,562.24 is: 15,846.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,522 : 53,293.44 = 10,562.24 : x
  2. Step 2: Convert to fraction form
    35,522/53,293.44 = 10,562.24/x
  3. Step 3: Cross multiply
    35,522x = 53,293.44 × 10,562.24
  4. Step 4: Simplify right side
    35,522x = 562,898,103.71
  5. Step 5: Solve for x
    x = 562,898,103.71/35,522
  6. Step 6: Final answer
    x = 15,846.46

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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.