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Finding the Fourth Proportional to 66,968, 92,420.16 and 37,160

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Solution

The fourth proportional to 66,968, 92,420.16 and 37,160 is: 51,283.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,968 : 92,420.16 = 37,160 : x
  2. Step 2: Convert to fraction form
    66,968/92,420.16 = 37,160/x
  3. Step 3: Cross multiply
    66,968x = 92,420.16 × 37,160
  4. Step 4: Simplify right side
    66,968x = 3,434,333,145.60
  5. Step 5: Solve for x
    x = 3,434,333,145.60/66,968
  6. Step 6: Final answer
    x = 51,283.20

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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.