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Finding the Fourth Proportional to 55,465.38, 83,200.74 and 15,484.26

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Solution

The fourth proportional to 55,465.38, 83,200.74 and 15,484.26 is: 23,227.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,465.38 : 83,200.74 = 15,484.26 : x
  2. Step 2: Convert to fraction form
    55,465.38/83,200.74 = 15,484.26/x
  3. Step 3: Cross multiply
    55,465.38x = 83,200.74 × 15,484.26
  4. Step 4: Simplify right side
    55,465.38x = 1,288,301,890.35
  5. Step 5: Solve for x
    x = 1,288,301,890.35/55,465.38
  6. Step 6: Final answer
    x = 23,227.14

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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.