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Finding the Fourth Proportional to 65,024.56, 89,677.74 and 42,355

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Solution

The fourth proportional to 65,024.56, 89,677.74 and 42,355 is: 58,413.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,024.56 : 89,677.74 = 42,355 : x
  2. Step 2: Convert to fraction form
    65,024.56/89,677.74 = 42,355/x
  3. Step 3: Cross multiply
    65,024.56x = 89,677.74 × 42,355
  4. Step 4: Simplify right side
    65,024.56x = 3,798,300,677.70
  5. Step 5: Solve for x
    x = 3,798,300,677.70/65,024.56
  6. Step 6: Final answer
    x = 58,413.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.