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Finding the Fourth Proportional to 54,265, 74,900.28 and 35,427.64

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Solution

The fourth proportional to 54,265, 74,900.28 and 35,427.64 is: 48,899.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,265 : 74,900.28 = 35,427.64 : x
  2. Step 2: Convert to fraction form
    54,265/74,900.28 = 35,427.64/x
  3. Step 3: Cross multiply
    54,265x = 74,900.28 × 35,427.64
  4. Step 4: Simplify right side
    54,265x = 2,653,540,155.74
  5. Step 5: Solve for x
    x = 2,653,540,155.74/54,265
  6. Step 6: Final answer
    x = 48,899.66

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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.