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Finding the Fourth Proportional to 38,603.70, 57,862.35 and 16,413.30

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Solution

The fourth proportional to 38,603.70, 57,862.35 and 16,413.30 is: 24,601.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,603.70 : 57,862.35 = 16,413.30 : x
  2. Step 2: Convert to fraction form
    38,603.70/57,862.35 = 16,413.30/x
  3. Step 3: Cross multiply
    38,603.70x = 57,862.35 × 16,413.30
  4. Step 4: Simplify right side
    38,603.70x = 949,712,109.26
  5. Step 5: Solve for x
    x = 949,712,109.26/38,603.70
  6. Step 6: Final answer
    x = 24,601.58

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