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Finding the Fourth Proportional to 30,233.52, 41,762.16 and 25,214.16

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Solution

The fourth proportional to 30,233.52, 41,762.16 and 25,214.16 is: 34,828.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,233.52 : 41,762.16 = 25,214.16 : x
  2. Step 2: Convert to fraction form
    30,233.52/41,762.16 = 25,214.16/x
  3. Step 3: Cross multiply
    30,233.52x = 41,762.16 × 25,214.16
  4. Step 4: Simplify right side
    30,233.52x = 1,052,997,784.19
  5. Step 5: Solve for x
    x = 1,052,997,784.19/30,233.52
  6. Step 6: Final answer
    x = 34,828.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.