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Finding the Fourth Proportional to 45,774.96, 63,029 and 40,077.84

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Solution

The fourth proportional to 45,774.96, 63,029 and 40,077.84 is: 55,184.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,774.96 : 63,029 = 40,077.84 : x
  2. Step 2: Convert to fraction form
    45,774.96/63,029 = 40,077.84/x
  3. Step 3: Cross multiply
    45,774.96x = 63,029 × 40,077.84
  4. Step 4: Simplify right side
    45,774.96x = 2,526,066,177.36
  5. Step 5: Solve for x
    x = 2,526,066,177.36/45,774.96
  6. Step 6: Final answer
    x = 55,184.45

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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.