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Finding the Fourth Proportional to 53,745.96, 74,143.62 and 46,281

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Solution

The fourth proportional to 53,745.96, 74,143.62 and 46,281 is: 63,845.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,745.96 : 74,143.62 = 46,281 : x
  2. Step 2: Convert to fraction form
    53,745.96/74,143.62 = 46,281/x
  3. Step 3: Cross multiply
    53,745.96x = 74,143.62 × 46,281
  4. Step 4: Simplify right side
    53,745.96x = 3,431,440,877.22
  5. Step 5: Solve for x
    x = 3,431,440,877.22/53,745.96
  6. Step 6: Final answer
    x = 63,845.56

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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.