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Finding the Fourth Proportional to 30,223.67, 45,356.15 and 10,502.06

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Solution

The fourth proportional to 30,223.67, 45,356.15 and 10,502.06 is: 15,760.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,223.67 : 45,356.15 = 10,502.06 : x
  2. Step 2: Convert to fraction form
    30,223.67/45,356.15 = 10,502.06/x
  3. Step 3: Cross multiply
    30,223.67x = 45,356.15 × 10,502.06
  4. Step 4: Simplify right side
    30,223.67x = 476,332,808.14
  5. Step 5: Solve for x
    x = 476,332,808.14/30,223.67
  6. Step 6: Final answer
    x = 15,760.26

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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.