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Finding the Fourth Proportional to 52,045.34, 71,822.57 and 28,172.21

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Solution

The fourth proportional to 52,045.34, 71,822.57 and 28,172.21 is: 38,877.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,045.34 : 71,822.57 = 28,172.21 : x
  2. Step 2: Convert to fraction form
    52,045.34/71,822.57 = 28,172.21/x
  3. Step 3: Cross multiply
    52,045.34x = 71,822.57 × 28,172.21
  4. Step 4: Simplify right side
    52,045.34x = 2,023,400,024.81
  5. Step 5: Solve for x
    x = 2,023,400,024.81/52,045.34
  6. Step 6: Final answer
    x = 38,877.64

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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.