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Finding the Fourth Proportional to 27,077.85, 40,610.70 and 17,783.10

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Solution

The fourth proportional to 27,077.85, 40,610.70 and 17,783.10 is: 26,670.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,077.85 : 40,610.70 = 17,783.10 : x
  2. Step 2: Convert to fraction form
    27,077.85/40,610.70 = 17,783.10/x
  3. Step 3: Cross multiply
    27,077.85x = 40,610.70 × 17,783.10
  4. Step 4: Simplify right side
    27,077.85x = 722,184,139.17
  5. Step 5: Solve for x
    x = 722,184,139.17/27,077.85
  6. Step 6: Final answer
    x = 26,670.66

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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.