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Finding the Fourth Proportional to 65,106.80, 97,692.60 and 37,048.40

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Solution

The fourth proportional to 65,106.80, 97,692.60 and 37,048.40 is: 55,591.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,106.80 : 97,692.60 = 37,048.40 : x
  2. Step 2: Convert to fraction form
    65,106.80/97,692.60 = 37,048.40/x
  3. Step 3: Cross multiply
    65,106.80x = 97,692.60 × 37,048.40
  4. Step 4: Simplify right side
    65,106.80x = 3,619,354,521.84
  5. Step 5: Solve for x
    x = 3,619,354,521.84/65,106.80
  6. Step 6: Final answer
    x = 55,591.04

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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.