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Finding the Fourth Proportional to 76,842, 106,041.96 and 41,514

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Solution

The fourth proportional to 76,842, 106,041.96 and 41,514 is: 57,289.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,842 : 106,041.96 = 41,514 : x
  2. Step 2: Convert to fraction form
    76,842/106,041.96 = 41,514/x
  3. Step 3: Cross multiply
    76,842x = 106,041.96 × 41,514
  4. Step 4: Simplify right side
    76,842x = 4,402,225,927.44
  5. Step 5: Solve for x
    x = 4,402,225,927.44/76,842
  6. Step 6: Final answer
    x = 57,289.32

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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.