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Finding the Fourth Proportional to 27,349.42, 37,742.94 and 15,413.16

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Solution

The fourth proportional to 27,349.42, 37,742.94 and 15,413.16 is: 21,270.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,349.42 : 37,742.94 = 15,413.16 : x
  2. Step 2: Convert to fraction form
    27,349.42/37,742.94 = 15,413.16/x
  3. Step 3: Cross multiply
    27,349.42x = 37,742.94 × 15,413.16
  4. Step 4: Simplify right side
    27,349.42x = 581,737,973.09
  5. Step 5: Solve for x
    x = 581,737,973.09/27,349.42
  6. Step 6: Final answer
    x = 21,270.58

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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.