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Finding the Fourth Proportional to 66,969, 92,417.22 and 37,161

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Solution

The fourth proportional to 66,969, 92,417.22 and 37,161 is: 51,282.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,969 : 92,417.22 = 37,161 : x
  2. Step 2: Convert to fraction form
    66,969/92,417.22 = 37,161/x
  3. Step 3: Cross multiply
    66,969x = 92,417.22 × 37,161
  4. Step 4: Simplify right side
    66,969x = 3,434,316,312.42
  5. Step 5: Solve for x
    x = 3,434,316,312.42/66,969
  6. Step 6: Final answer
    x = 51,282.18

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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.