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Finding the Fourth Proportional to 77,483.25, 106,922.30 and 43,484.58

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Solution

The fourth proportional to 77,483.25, 106,922.30 and 43,484.58 is: 60,006.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,483.25 : 106,922.30 = 43,484.58 : x
  2. Step 2: Convert to fraction form
    77,483.25/106,922.30 = 43,484.58/x
  3. Step 3: Cross multiply
    77,483.25x = 106,922.30 × 43,484.58
  4. Step 4: Simplify right side
    77,483.25x = 4,649,471,090.71
  5. Step 5: Solve for x
    x = 4,649,471,090.71/77,483.25
  6. Step 6: Final answer
    x = 60,006.14

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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.