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Finding the Fourth Proportional to 30,413.32, 45,624.33 and 9,355.12

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Solution

The fourth proportional to 30,413.32, 45,624.33 and 9,355.12 is: 14,034.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,413.32 : 45,624.33 = 9,355.12 : x
  2. Step 2: Convert to fraction form
    30,413.32/45,624.33 = 9,355.12/x
  3. Step 3: Cross multiply
    30,413.32x = 45,624.33 × 9,355.12
  4. Step 4: Simplify right side
    30,413.32x = 426,821,082.07
  5. Step 5: Solve for x
    x = 426,821,082.07/30,413.32
  6. Step 6: Final answer
    x = 14,034.02

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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.