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Finding the Fourth Proportional to 32,314.16, 48,421.75 and 21,745.01

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Solution

The fourth proportional to 32,314.16, 48,421.75 and 21,745.01 is: 32,584.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,314.16 : 48,421.75 = 21,745.01 : x
  2. Step 2: Convert to fraction form
    32,314.16/48,421.75 = 21,745.01/x
  3. Step 3: Cross multiply
    32,314.16x = 48,421.75 × 21,745.01
  4. Step 4: Simplify right side
    32,314.16x = 1,052,931,437.97
  5. Step 5: Solve for x
    x = 1,052,931,437.97/32,314.16
  6. Step 6: Final answer
    x = 32,584.21

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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.