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Finding the Fourth Proportional to 55,301.40, 82,952 and 13,748.40

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Solution

The fourth proportional to 55,301.40, 82,952 and 13,748.40 is: 20,622.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,301.40 : 82,952 = 13,748.40 : x
  2. Step 2: Convert to fraction form
    55,301.40/82,952 = 13,748.40/x
  3. Step 3: Cross multiply
    55,301.40x = 82,952 × 13,748.40
  4. Step 4: Simplify right side
    55,301.40x = 1,140,457,276.80
  5. Step 5: Solve for x
    x = 1,140,457,276.80/55,301.40
  6. Step 6: Final answer
    x = 20,622.58

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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.