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Finding the Fourth Proportional to 53,438.40, 73,742.64 and 29,564.64

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Solution

The fourth proportional to 53,438.40, 73,742.64 and 29,564.64 is: 40,797.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,438.40 : 73,742.64 = 29,564.64 : x
  2. Step 2: Convert to fraction form
    53,438.40/73,742.64 = 29,564.64/x
  3. Step 3: Cross multiply
    53,438.40x = 73,742.64 × 29,564.64
  4. Step 4: Simplify right side
    53,438.40x = 2,180,174,604.25
  5. Step 5: Solve for x
    x = 2,180,174,604.25/53,438.40
  6. Step 6: Final answer
    x = 40,797.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.