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Finding the Fourth Proportional to 38,413, 53,024.52 and 25,845.04

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Solution

The fourth proportional to 38,413, 53,024.52 and 25,845.04 is: 35,675.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,413 : 53,024.52 = 25,845.04 : x
  2. Step 2: Convert to fraction form
    38,413/53,024.52 = 25,845.04/x
  3. Step 3: Cross multiply
    38,413x = 53,024.52 × 25,845.04
  4. Step 4: Simplify right side
    38,413x = 1,370,420,840.38
  5. Step 5: Solve for x
    x = 1,370,420,840.38/38,413
  6. Step 6: Final answer
    x = 35,675.96

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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.