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Finding the Fourth Proportional to 85,945.15, 118,602.47 and 47,702.47

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Solution

The fourth proportional to 85,945.15, 118,602.47 and 47,702.47 is: 65,828.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,945.15 : 118,602.47 = 47,702.47 : x
  2. Step 2: Convert to fraction form
    85,945.15/118,602.47 = 47,702.47/x
  3. Step 3: Cross multiply
    85,945.15x = 118,602.47 × 47,702.47
  4. Step 4: Simplify right side
    85,945.15x = 5,657,629,935.58
  5. Step 5: Solve for x
    x = 5,657,629,935.58/85,945.15
  6. Step 6: Final answer
    x = 65,828.38

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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.