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Finding the Fourth Proportional to 56,576.34, 78,071.85 and 32,699.16

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Solution

The fourth proportional to 56,576.34, 78,071.85 and 32,699.16 is: 45,122.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,576.34 : 78,071.85 = 32,699.16 : x
  2. Step 2: Convert to fraction form
    56,576.34/78,071.85 = 32,699.16/x
  3. Step 3: Cross multiply
    56,576.34x = 78,071.85 × 32,699.16
  4. Step 4: Simplify right side
    56,576.34x = 2,552,883,914.65
  5. Step 5: Solve for x
    x = 2,552,883,914.65/56,576.34
  6. Step 6: Final answer
    x = 45,122.82

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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.