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Finding the Fourth Proportional to 35,413.56, 53,126.28 and 14,355

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Solution

The fourth proportional to 35,413.56, 53,126.28 and 14,355 is: 21,534.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,413.56 : 53,126.28 = 14,355 : x
  2. Step 2: Convert to fraction form
    35,413.56/53,126.28 = 14,355/x
  3. Step 3: Cross multiply
    35,413.56x = 53,126.28 × 14,355
  4. Step 4: Simplify right side
    35,413.56x = 762,627,749.40
  5. Step 5: Solve for x
    x = 762,627,749.40/35,413.56
  6. Step 6: Final answer
    x = 21,534.91

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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.