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Finding the Fourth Proportional to 28,431.70, 42,684.50 and 21,862.50

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Solution

The fourth proportional to 28,431.70, 42,684.50 and 21,862.50 is: 32,822.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,431.70 : 42,684.50 = 21,862.50 : x
  2. Step 2: Convert to fraction form
    28,431.70/42,684.50 = 21,862.50/x
  3. Step 3: Cross multiply
    28,431.70x = 42,684.50 × 21,862.50
  4. Step 4: Simplify right side
    28,431.70x = 933,189,775.84
  5. Step 5: Solve for x
    x = 933,189,775.84/28,431.70
  6. Step 6: Final answer
    x = 32,822.16

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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.