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Finding the Fourth Proportional to 76,829, 106,024.04 and 41,501

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Solution

The fourth proportional to 76,829, 106,024.04 and 41,501 is: 57,271.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,829 : 106,024.04 = 41,501 : x
  2. Step 2: Convert to fraction form
    76,829/106,024.04 = 41,501/x
  3. Step 3: Cross multiply
    76,829x = 106,024.04 × 41,501
  4. Step 4: Simplify right side
    76,829x = 4,400,103,684.04
  5. Step 5: Solve for x
    x = 4,400,103,684.04/76,829
  6. Step 6: Final answer
    x = 57,271.39

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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.