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Finding the Fourth Proportional to 25,762.56, 38,413.08 and 25,296

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Solution

The fourth proportional to 25,762.56, 38,413.08 and 25,296 is: 37,717.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,762.56 : 38,413.08 = 25,296 : x
  2. Step 2: Convert to fraction form
    25,762.56/38,413.08 = 25,296/x
  3. Step 3: Cross multiply
    25,762.56x = 38,413.08 × 25,296
  4. Step 4: Simplify right side
    25,762.56x = 971,697,271.68
  5. Step 5: Solve for x
    x = 971,697,271.68/25,762.56
  6. Step 6: Final answer
    x = 37,717.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.