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Finding the Fourth Proportional to 85,510.14, 118,003.38 and 47,784.39

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Solution

The fourth proportional to 85,510.14, 118,003.38 and 47,784.39 is: 65,942.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,510.14 : 118,003.38 = 47,784.39 : x
  2. Step 2: Convert to fraction form
    85,510.14/118,003.38 = 47,784.39/x
  3. Step 3: Cross multiply
    85,510.14x = 118,003.38 × 47,784.39
  4. Step 4: Simplify right side
    85,510.14x = 5,638,719,531.24
  5. Step 5: Solve for x
    x = 5,638,719,531.24/85,510.14
  6. Step 6: Final answer
    x = 65,942.12

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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.