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Finding the Fourth Proportional to 65,692.68, 98,448.16 and 56,905.80

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Solution

The fourth proportional to 65,692.68, 98,448.16 and 56,905.80 is: 85,279.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,692.68 : 98,448.16 = 56,905.80 : x
  2. Step 2: Convert to fraction form
    65,692.68/98,448.16 = 56,905.80/x
  3. Step 3: Cross multiply
    65,692.68x = 98,448.16 × 56,905.80
  4. Step 4: Simplify right side
    65,692.68x = 5,602,271,303.33
  5. Step 5: Solve for x
    x = 5,602,271,303.33/65,692.68
  6. Step 6: Final answer
    x = 85,279.99

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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.