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Finding the Fourth Proportional to 52,968.32, 73,088.16 and 30,608

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Solution

The fourth proportional to 52,968.32, 73,088.16 and 30,608 is: 42,234.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,968.32 : 73,088.16 = 30,608 : x
  2. Step 2: Convert to fraction form
    52,968.32/73,088.16 = 30,608/x
  3. Step 3: Cross multiply
    52,968.32x = 73,088.16 × 30,608
  4. Step 4: Simplify right side
    52,968.32x = 2,237,082,401.28
  5. Step 5: Solve for x
    x = 2,237,082,401.28/52,968.32
  6. Step 6: Final answer
    x = 42,234.35

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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.