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Finding the Fourth Proportional to 55,421.34, 83,129.49 and 20,358.42

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Solution

The fourth proportional to 55,421.34, 83,129.49 and 20,358.42 is: 30,536.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,421.34 : 83,129.49 = 20,358.42 : x
  2. Step 2: Convert to fraction form
    55,421.34/83,129.49 = 20,358.42/x
  3. Step 3: Cross multiply
    55,421.34x = 83,129.49 × 20,358.42
  4. Step 4: Simplify right side
    55,421.34x = 1,692,385,071.81
  5. Step 5: Solve for x
    x = 1,692,385,071.81/55,421.34
  6. Step 6: Final answer
    x = 30,536.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.