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Finding the Fourth Proportional to 76,916.66, 106,193.04 and 58,977.20

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Solution

The fourth proportional to 76,916.66, 106,193.04 and 58,977.20 is: 81,425.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,916.66 : 106,193.04 = 58,977.20 : x
  2. Step 2: Convert to fraction form
    76,916.66/106,193.04 = 58,977.20/x
  3. Step 3: Cross multiply
    76,916.66x = 106,193.04 × 58,977.20
  4. Step 4: Simplify right side
    76,916.66x = 6,262,968,158.69
  5. Step 5: Solve for x
    x = 6,262,968,158.69/76,916.66
  6. Step 6: Final answer
    x = 81,425.38

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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.