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Finding the Fourth Proportional to 61,634, 92,466.36 and 17,858

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Solution

The fourth proportional to 61,634, 92,466.36 and 17,858 is: 26,791.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,634 : 92,466.36 = 17,858 : x
  2. Step 2: Convert to fraction form
    61,634/92,466.36 = 17,858/x
  3. Step 3: Cross multiply
    61,634x = 92,466.36 × 17,858
  4. Step 4: Simplify right side
    61,634x = 1,651,264,256.88
  5. Step 5: Solve for x
    x = 1,651,264,256.88/61,634
  6. Step 6: Final answer
    x = 26,791.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.