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Finding the Fourth Proportional to 85,837.82, 118,454.06 and 47,597.51

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Solution

The fourth proportional to 85,837.82, 118,454.06 and 47,597.51 is: 65,683.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,837.82 : 118,454.06 = 47,597.51 : x
  2. Step 2: Convert to fraction form
    85,837.82/118,454.06 = 47,597.51/x
  3. Step 3: Cross multiply
    85,837.82x = 118,454.06 × 47,597.51
  4. Step 4: Simplify right side
    85,837.82x = 5,638,118,720.52
  5. Step 5: Solve for x
    x = 5,638,118,720.52/85,837.82
  6. Step 6: Final answer
    x = 65,683.39

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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.