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Finding the Fourth Proportional to 27,420.32, 41,127.36 and 7,700.48

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Solution

The fourth proportional to 27,420.32, 41,127.36 and 7,700.48 is: 11,549.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,420.32 : 41,127.36 = 7,700.48 : x
  2. Step 2: Convert to fraction form
    27,420.32/41,127.36 = 7,700.48/x
  3. Step 3: Cross multiply
    27,420.32x = 41,127.36 × 7,700.48
  4. Step 4: Simplify right side
    27,420.32x = 316,700,413.13
  5. Step 5: Solve for x
    x = 316,700,413.13/27,420.32
  6. Step 6: Final answer
    x = 11,549.84

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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.