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Finding the Fourth Proportional to 35,141.56, 48,491.86 and 20,033

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Solution

The fourth proportional to 35,141.56, 48,491.86 and 20,033 is: 27,643.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,141.56 : 48,491.86 = 20,033 : x
  2. Step 2: Convert to fraction form
    35,141.56/48,491.86 = 20,033/x
  3. Step 3: Cross multiply
    35,141.56x = 48,491.86 × 20,033
  4. Step 4: Simplify right side
    35,141.56x = 971,437,431.38
  5. Step 5: Solve for x
    x = 971,437,431.38/35,141.56
  6. Step 6: Final answer
    x = 27,643.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.