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Finding the Fourth Proportional to 65,083.88, 97,627.44 and 18,335

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Solution

The fourth proportional to 65,083.88, 97,627.44 and 18,335 is: 27,502.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,083.88 : 97,627.44 = 18,335 : x
  2. Step 2: Convert to fraction form
    65,083.88/97,627.44 = 18,335/x
  3. Step 3: Cross multiply
    65,083.88x = 97,627.44 × 18,335
  4. Step 4: Simplify right side
    65,083.88x = 1,789,999,112.40
  5. Step 5: Solve for x
    x = 1,789,999,112.40/65,083.88
  6. Step 6: Final answer
    x = 27,502.96

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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.