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Finding the Fourth Proportional to 30,697.60, 45,981.60 and 25,513.60

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Solution

The fourth proportional to 30,697.60, 45,981.60 and 25,513.60 is: 38,216.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,697.60 : 45,981.60 = 25,513.60 : x
  2. Step 2: Convert to fraction form
    30,697.60/45,981.60 = 25,513.60/x
  3. Step 3: Cross multiply
    30,697.60x = 45,981.60 × 25,513.60
  4. Step 4: Simplify right side
    30,697.60x = 1,173,156,149.76
  5. Step 5: Solve for x
    x = 1,173,156,149.76/30,697.60
  6. Step 6: Final answer
    x = 38,216.54

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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.