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Finding the Fourth Proportional to 55,951.76, 77,223.78 and 32,078.60

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Solution

The fourth proportional to 55,951.76, 77,223.78 and 32,078.60 is: 44,274.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,951.76 : 77,223.78 = 32,078.60 : x
  2. Step 2: Convert to fraction form
    55,951.76/77,223.78 = 32,078.60/x
  3. Step 3: Cross multiply
    55,951.76x = 77,223.78 × 32,078.60
  4. Step 4: Simplify right side
    55,951.76x = 2,477,230,749.11
  5. Step 5: Solve for x
    x = 2,477,230,749.11/55,951.76
  6. Step 6: Final answer
    x = 44,274.40

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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.