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Finding the Fourth Proportional to 76,852, 106,055.76 and 41,524

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Solution

The fourth proportional to 76,852, 106,055.76 and 41,524 is: 57,303.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,852 : 106,055.76 = 41,524 : x
  2. Step 2: Convert to fraction form
    76,852/106,055.76 = 41,524/x
  3. Step 3: Cross multiply
    76,852x = 106,055.76 × 41,524
  4. Step 4: Simplify right side
    76,852x = 4,403,859,378.24
  5. Step 5: Solve for x
    x = 4,403,859,378.24/76,852
  6. Step 6: Final answer
    x = 57,303.12

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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.