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Finding the Fourth Proportional to 85,347.70, 117,779.73 and 47,621.95

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Solution

The fourth proportional to 85,347.70, 117,779.73 and 47,621.95 is: 65,718.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,347.70 : 117,779.73 = 47,621.95 : x
  2. Step 2: Convert to fraction form
    85,347.70/117,779.73 = 47,621.95/x
  3. Step 3: Cross multiply
    85,347.70x = 117,779.73 × 47,621.95
  4. Step 4: Simplify right side
    85,347.70x = 5,608,900,413.07
  5. Step 5: Solve for x
    x = 5,608,900,413.07/85,347.70
  6. Step 6: Final answer
    x = 65,718.24

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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.