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Finding the Fourth Proportional to 50,580.47, 75,880.47 and 19,413.29

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Solution

The fourth proportional to 50,580.47, 75,880.47 and 19,413.29 is: 29,123.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,580.47 : 75,880.47 = 19,413.29 : x
  2. Step 2: Convert to fraction form
    50,580.47/75,880.47 = 19,413.29/x
  3. Step 3: Cross multiply
    50,580.47x = 75,880.47 × 19,413.29
  4. Step 4: Simplify right side
    50,580.47x = 1,473,089,569.45
  5. Step 5: Solve for x
    x = 1,473,089,569.45/50,580.47
  6. Step 6: Final answer
    x = 29,123.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.