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Finding the Fourth Proportional to 30,897.36, 46,346.31 and 20,232.72

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Solution

The fourth proportional to 30,897.36, 46,346.31 and 20,232.72 is: 30,349.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,897.36 : 46,346.31 = 20,232.72 : x
  2. Step 2: Convert to fraction form
    30,897.36/46,346.31 = 20,232.72/x
  3. Step 3: Cross multiply
    30,897.36x = 46,346.31 × 20,232.72
  4. Step 4: Simplify right side
    30,897.36x = 937,711,913.26
  5. Step 5: Solve for x
    x = 937,711,913.26/30,897.36
  6. Step 6: Final answer
    x = 30,349.26

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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.