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Finding the Fourth Proportional to 35,819.64, 53,730 and 12,446.64

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Solution

The fourth proportional to 35,819.64, 53,730 and 12,446.64 is: 18,670.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,819.64 : 53,730 = 12,446.64 : x
  2. Step 2: Convert to fraction form
    35,819.64/53,730 = 12,446.64/x
  3. Step 3: Cross multiply
    35,819.64x = 53,730 × 12,446.64
  4. Step 4: Simplify right side
    35,819.64x = 668,757,967.20
  5. Step 5: Solve for x
    x = 668,757,967.20/35,819.64
  6. Step 6: Final answer
    x = 18,670.15

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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.