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Finding the Fourth Proportional to 52,406, 72,319.20 and 28,533.12

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Solution

The fourth proportional to 52,406, 72,319.20 and 28,533.12 is: 39,375.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,406 : 72,319.20 = 28,533.12 : x
  2. Step 2: Convert to fraction form
    52,406/72,319.20 = 28,533.12/x
  3. Step 3: Cross multiply
    52,406x = 72,319.20 × 28,533.12
  4. Step 4: Simplify right side
    52,406x = 2,063,492,411.90
  5. Step 5: Solve for x
    x = 2,063,492,411.90/52,406
  6. Step 6: Final answer
    x = 39,375.12

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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.