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Finding the Fourth Proportional to 61,092.35, 84,307.43 and 37,219

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Solution

The fourth proportional to 61,092.35, 84,307.43 and 37,219 is: 51,362.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,092.35 : 84,307.43 = 37,219 : x
  2. Step 2: Convert to fraction form
    61,092.35/84,307.43 = 37,219/x
  3. Step 3: Cross multiply
    61,092.35x = 84,307.43 × 37,219
  4. Step 4: Simplify right side
    61,092.35x = 3,137,838,237.17
  5. Step 5: Solve for x
    x = 3,137,838,237.17/61,092.35
  6. Step 6: Final answer
    x = 51,362.21

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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.