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Finding the Fourth Proportional to 56,709.12, 78,266.40 and 32,843.28

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Solution

The fourth proportional to 56,709.12, 78,266.40 and 32,843.28 is: 45,328.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,709.12 : 78,266.40 = 32,843.28 : x
  2. Step 2: Convert to fraction form
    56,709.12/78,266.40 = 32,843.28/x
  3. Step 3: Cross multiply
    56,709.12x = 78,266.40 × 32,843.28
  4. Step 4: Simplify right side
    56,709.12x = 2,570,525,289.79
  5. Step 5: Solve for x
    x = 2,570,525,289.79/56,709.12
  6. Step 6: Final answer
    x = 45,328.25

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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.