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Finding the Fourth Proportional to 61,237.54, 84,501.27 and 34,383

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Solution

The fourth proportional to 61,237.54, 84,501.27 and 34,383 is: 47,444.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,237.54 : 84,501.27 = 34,383 : x
  2. Step 2: Convert to fraction form
    61,237.54/84,501.27 = 34,383/x
  3. Step 3: Cross multiply
    61,237.54x = 84,501.27 × 34,383
  4. Step 4: Simplify right side
    61,237.54x = 2,905,407,166.41
  5. Step 5: Solve for x
    x = 2,905,407,166.41/61,237.54
  6. Step 6: Final answer
    x = 47,444.87

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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.