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Finding the Fourth Proportional to 61,068, 84,273.84 and 34,572

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Solution

The fourth proportional to 61,068, 84,273.84 and 34,572 is: 47,709.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,068 : 84,273.84 = 34,572 : x
  2. Step 2: Convert to fraction form
    61,068/84,273.84 = 34,572/x
  3. Step 3: Cross multiply
    61,068x = 84,273.84 × 34,572
  4. Step 4: Simplify right side
    61,068x = 2,913,515,196.48
  5. Step 5: Solve for x
    x = 2,913,515,196.48/61,068
  6. Step 6: Final answer
    x = 47,709.36

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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.