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Finding the Fourth Proportional to 66,966, 92,413.08 and 37,158

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Solution

The fourth proportional to 66,966, 92,413.08 and 37,158 is: 51,278.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,966 : 92,413.08 = 37,158 : x
  2. Step 2: Convert to fraction form
    66,966/92,413.08 = 37,158/x
  3. Step 3: Cross multiply
    66,966x = 92,413.08 × 37,158
  4. Step 4: Simplify right side
    66,966x = 3,433,885,226.64
  5. Step 5: Solve for x
    x = 3,433,885,226.64/66,966
  6. Step 6: Final answer
    x = 51,278.04

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Why These Related Problems?

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