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Finding the Fourth Proportional to 65,692.44, 90,684.54 and 47,923.02

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Solution

The fourth proportional to 65,692.44, 90,684.54 and 47,923.02 is: 66,154.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,692.44 : 90,684.54 = 47,923.02 : x
  2. Step 2: Convert to fraction form
    65,692.44/90,684.54 = 47,923.02/x
  3. Step 3: Cross multiply
    65,692.44x = 90,684.54 × 47,923.02
  4. Step 4: Simplify right side
    65,692.44x = 4,345,877,024.11
  5. Step 5: Solve for x
    x = 4,345,877,024.11/65,692.44
  6. Step 6: Final answer
    x = 66,154.90

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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.