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Finding the Fourth Proportional to 43,322.40, 64,983.60 and 22,543.20

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Solution

The fourth proportional to 43,322.40, 64,983.60 and 22,543.20 is: 33,814.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,322.40 : 64,983.60 = 22,543.20 : x
  2. Step 2: Convert to fraction form
    43,322.40/64,983.60 = 22,543.20/x
  3. Step 3: Cross multiply
    43,322.40x = 64,983.60 × 22,543.20
  4. Step 4: Simplify right side
    43,322.40x = 1,464,938,291.52
  5. Step 5: Solve for x
    x = 1,464,938,291.52/43,322.40
  6. Step 6: Final answer
    x = 33,814.80

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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.