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Finding the Fourth Proportional to 66,965.80, 100,448.70 and 56,468.20

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Solution

The fourth proportional to 66,965.80, 100,448.70 and 56,468.20 is: 84,702.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,965.80 : 100,448.70 = 56,468.20 : x
  2. Step 2: Convert to fraction form
    66,965.80/100,448.70 = 56,468.20/x
  3. Step 3: Cross multiply
    66,965.80x = 100,448.70 × 56,468.20
  4. Step 4: Simplify right side
    66,965.80x = 5,672,157,281.34
  5. Step 5: Solve for x
    x = 5,672,157,281.34/66,965.80
  6. Step 6: Final answer
    x = 84,702.30

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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.