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Finding the Fourth Proportional to 34,580.16, 47,724.48 and 20,436.48

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Solution

The fourth proportional to 34,580.16, 47,724.48 and 20,436.48 is: 28,204.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,580.16 : 47,724.48 = 20,436.48 : x
  2. Step 2: Convert to fraction form
    34,580.16/47,724.48 = 20,436.48/x
  3. Step 3: Cross multiply
    34,580.16x = 47,724.48 × 20,436.48
  4. Step 4: Simplify right side
    34,580.16x = 975,320,381.03
  5. Step 5: Solve for x
    x = 975,320,381.03/34,580.16
  6. Step 6: Final answer
    x = 28,204.62

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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.