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Finding the Fourth Proportional to 51,564.16, 71,168.16 and 30,342.40

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Solution

The fourth proportional to 51,564.16, 71,168.16 and 30,342.40 is: 41,878.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,564.16 : 71,168.16 = 30,342.40 : x
  2. Step 2: Convert to fraction form
    51,564.16/71,168.16 = 30,342.40/x
  3. Step 3: Cross multiply
    51,564.16x = 71,168.16 × 30,342.40
  4. Step 4: Simplify right side
    51,564.16x = 2,159,412,777.98
  5. Step 5: Solve for x
    x = 2,159,412,777.98/51,564.16
  6. Step 6: Final answer
    x = 41,878.17

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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.