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Finding the Fourth Proportional to 77,477.54, 116,106.44 and 32,450.40

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Solution

The fourth proportional to 77,477.54, 116,106.44 and 32,450.40 is: 48,629.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,477.54 : 116,106.44 = 32,450.40 : x
  2. Step 2: Convert to fraction form
    77,477.54/116,106.44 = 32,450.40/x
  3. Step 3: Cross multiply
    77,477.54x = 116,106.44 × 32,450.40
  4. Step 4: Simplify right side
    77,477.54x = 3,767,700,420.58
  5. Step 5: Solve for x
    x = 3,767,700,420.58/77,477.54
  6. Step 6: Final answer
    x = 48,629.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.