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Finding the Fourth Proportional to 30,697.80, 46,031.90 and 18,219.40

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Solution

The fourth proportional to 30,697.80, 46,031.90 and 18,219.40 is: 27,320.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,697.80 : 46,031.90 = 18,219.40 : x
  2. Step 2: Convert to fraction form
    30,697.80/46,031.90 = 18,219.40/x
  3. Step 3: Cross multiply
    30,697.80x = 46,031.90 × 18,219.40
  4. Step 4: Simplify right side
    30,697.80x = 838,673,598.86
  5. Step 5: Solve for x
    x = 838,673,598.86/30,697.80
  6. Step 6: Final answer
    x = 27,320.32

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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.