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Finding the Fourth Proportional to 35,101, 52,660.74 and 12,613.95

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Solution

The fourth proportional to 35,101, 52,660.74 and 12,613.95 is: 18,924.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,101 : 52,660.74 = 12,613.95 : x
  2. Step 2: Convert to fraction form
    35,101/52,660.74 = 12,613.95/x
  3. Step 3: Cross multiply
    35,101x = 52,660.74 × 12,613.95
  4. Step 4: Simplify right side
    35,101x = 664,259,941.32
  5. Step 5: Solve for x
    x = 664,259,941.32/35,101
  6. Step 6: Final answer
    x = 18,924.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.