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Finding the Fourth Proportional to 30,981.60, 46,446.36 and 21,594

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Solution

The fourth proportional to 30,981.60, 46,446.36 and 21,594 is: 32,372.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,981.60 : 46,446.36 = 21,594 : x
  2. Step 2: Convert to fraction form
    30,981.60/46,446.36 = 21,594/x
  3. Step 3: Cross multiply
    30,981.60x = 46,446.36 × 21,594
  4. Step 4: Simplify right side
    30,981.60x = 1,002,962,697.84
  5. Step 5: Solve for x
    x = 1,002,962,697.84/30,981.60
  6. Step 6: Final answer
    x = 32,372.85

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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.