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Finding the Fourth Proportional to 106,483.86, 146,948.31 and 58,737.20

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Solution

The fourth proportional to 106,483.86, 146,948.31 and 58,737.20 is: 81,057.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,483.86 : 146,948.31 = 58,737.20 : x
  2. Step 2: Convert to fraction form
    106,483.86/146,948.31 = 58,737.20/x
  3. Step 3: Cross multiply
    106,483.86x = 146,948.31 × 58,737.20
  4. Step 4: Simplify right side
    106,483.86x = 8,631,331,539.39
  5. Step 5: Solve for x
    x = 8,631,331,539.39/106,483.86
  6. Step 6: Final answer
    x = 81,057.65

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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.