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Finding the Fourth Proportional to 30,189.52, 45,281.40 and 9,413.20

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Solution

The fourth proportional to 30,189.52, 45,281.40 and 9,413.20 is: 14,118.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,189.52 : 45,281.40 = 9,413.20 : x
  2. Step 2: Convert to fraction form
    30,189.52/45,281.40 = 9,413.20/x
  3. Step 3: Cross multiply
    30,189.52x = 45,281.40 × 9,413.20
  4. Step 4: Simplify right side
    30,189.52x = 426,242,874.48
  5. Step 5: Solve for x
    x = 426,242,874.48/30,189.52
  6. Step 6: Final answer
    x = 14,118.90

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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.