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Finding the Fourth Proportional to 76,851, 106,054.38 and 41,523

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Solution

The fourth proportional to 76,851, 106,054.38 and 41,523 is: 57,301.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,851 : 106,054.38 = 41,523 : x
  2. Step 2: Convert to fraction form
    76,851/106,054.38 = 41,523/x
  3. Step 3: Cross multiply
    76,851x = 106,054.38 × 41,523
  4. Step 4: Simplify right side
    76,851x = 4,403,696,020.74
  5. Step 5: Solve for x
    x = 4,403,696,020.74/76,851
  6. Step 6: Final answer
    x = 57,301.74

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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.