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Finding the Fourth Proportional to 38,492.74, 53,078.35 and 33,413.43

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Solution

The fourth proportional to 38,492.74, 53,078.35 and 33,413.43 is: 46,074.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,492.74 : 53,078.35 = 33,413.43 : x
  2. Step 2: Convert to fraction form
    38,492.74/53,078.35 = 33,413.43/x
  3. Step 3: Cross multiply
    38,492.74x = 53,078.35 × 33,413.43
  4. Step 4: Simplify right side
    38,492.74x = 1,773,529,732.24
  5. Step 5: Solve for x
    x = 1,773,529,732.24/38,492.74
  6. Step 6: Final answer
    x = 46,074.40

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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.