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Finding the Fourth Proportional to 61,398, 92,126.16 and 19,845

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Solution

The fourth proportional to 61,398, 92,126.16 and 19,845 is: 29,776.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,398 : 92,126.16 = 19,845 : x
  2. Step 2: Convert to fraction form
    61,398/92,126.16 = 19,845/x
  3. Step 3: Cross multiply
    61,398x = 92,126.16 × 19,845
  4. Step 4: Simplify right side
    61,398x = 1,828,243,645.20
  5. Step 5: Solve for x
    x = 1,828,243,645.20/61,398
  6. Step 6: Final answer
    x = 29,776.93

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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.