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Finding the Fourth Proportional to 50,221.76, 75,303.48 and 19,040

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Solution

The fourth proportional to 50,221.76, 75,303.48 and 19,040 is: 28,548.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,221.76 : 75,303.48 = 19,040 : x
  2. Step 2: Convert to fraction form
    50,221.76/75,303.48 = 19,040/x
  3. Step 3: Cross multiply
    50,221.76x = 75,303.48 × 19,040
  4. Step 4: Simplify right side
    50,221.76x = 1,433,778,259.20
  5. Step 5: Solve for x
    x = 1,433,778,259.20/50,221.76
  6. Step 6: Final answer
    x = 28,548.94

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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.