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Finding the Fourth Proportional to 97,692.60, 146,538.90 and 31,137.60

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Solution

The fourth proportional to 97,692.60, 146,538.90 and 31,137.60 is: 46,706.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,692.60 : 146,538.90 = 31,137.60 : x
  2. Step 2: Convert to fraction form
    97,692.60/146,538.90 = 31,137.60/x
  3. Step 3: Cross multiply
    97,692.60x = 146,538.90 × 31,137.60
  4. Step 4: Simplify right side
    97,692.60x = 4,562,869,652.64
  5. Step 5: Solve for x
    x = 4,562,869,652.64/97,692.60
  6. Step 6: Final answer
    x = 46,706.40

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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.