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Finding the Fourth Proportional to 85,139.28, 117,491.04 and 47,413.80

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Solution

The fourth proportional to 85,139.28, 117,491.04 and 47,413.80 is: 65,430.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,139.28 : 117,491.04 = 47,413.80 : x
  2. Step 2: Convert to fraction form
    85,139.28/117,491.04 = 47,413.80/x
  3. Step 3: Cross multiply
    85,139.28x = 117,491.04 × 47,413.80
  4. Step 4: Simplify right side
    85,139.28x = 5,570,696,672.35
  5. Step 5: Solve for x
    x = 5,570,696,672.35/85,139.28
  6. Step 6: Final answer
    x = 65,430.39

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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.