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Finding the Fourth Proportional to 100,445, 138,618.42 and 55,733

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Solution

The fourth proportional to 100,445, 138,618.42 and 55,733 is: 76,913.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,445 : 138,618.42 = 55,733 : x
  2. Step 2: Convert to fraction form
    100,445/138,618.42 = 55,733/x
  3. Step 3: Cross multiply
    100,445x = 138,618.42 × 55,733
  4. Step 4: Simplify right side
    100,445x = 7,725,620,401.86
  5. Step 5: Solve for x
    x = 7,725,620,401.86/100,445
  6. Step 6: Final answer
    x = 76,913.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.