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Finding the Fourth Proportional to 78,461.95, 117,692.93 and 46,969.15

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Solution

The fourth proportional to 78,461.95, 117,692.93 and 46,969.15 is: 70,453.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,461.95 : 117,692.93 = 46,969.15 : x
  2. Step 2: Convert to fraction form
    78,461.95/117,692.93 = 46,969.15/x
  3. Step 3: Cross multiply
    78,461.95x = 117,692.93 × 46,969.15
  4. Step 4: Simplify right side
    78,461.95x = 5,527,936,648.26
  5. Step 5: Solve for x
    x = 5,527,936,648.26/78,461.95
  6. Step 6: Final answer
    x = 70,453.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.