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Finding the Fourth Proportional to 35,138.64, 52,700.76 and 15,406.32

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Solution

The fourth proportional to 35,138.64, 52,700.76 and 15,406.32 is: 23,106.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,138.64 : 52,700.76 = 15,406.32 : x
  2. Step 2: Convert to fraction form
    35,138.64/52,700.76 = 15,406.32/x
  3. Step 3: Cross multiply
    35,138.64x = 52,700.76 × 15,406.32
  4. Step 4: Simplify right side
    35,138.64x = 811,924,772.80
  5. Step 5: Solve for x
    x = 811,924,772.80/35,138.64
  6. Step 6: Final answer
    x = 23,106.32

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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.