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Finding the Fourth Proportional to 27,413.40, 38,430.60 and 27,413.40

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Solution

The fourth proportional to 27,413.40, 38,430.60 and 27,413.40 is: 38,430.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,413.40 : 38,430.60 = 27,413.40 : x
  2. Step 2: Convert to fraction form
    27,413.40/38,430.60 = 27,413.40/x
  3. Step 3: Cross multiply
    27,413.40x = 38,430.60 × 27,413.40
  4. Step 4: Simplify right side
    27,413.40x = 1,053,513,410.04
  5. Step 5: Solve for x
    x = 1,053,513,410.04/27,413.40
  6. Step 6: Final answer
    x = 38,430.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.