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Finding the Fourth Proportional to 100,024.89, 138,020.98 and 55,315.77

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Solution

The fourth proportional to 100,024.89, 138,020.98 and 55,315.77 is: 76,328.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,024.89 : 138,020.98 = 55,315.77 : x
  2. Step 2: Convert to fraction form
    100,024.89/138,020.98 = 55,315.77/x
  3. Step 3: Cross multiply
    100,024.89x = 138,020.98 × 55,315.77
  4. Step 4: Simplify right side
    100,024.89x = 7,634,736,784.85
  5. Step 5: Solve for x
    x = 7,634,736,784.85/100,024.89
  6. Step 6: Final answer
    x = 76,328.37

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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.