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Finding the Fourth Proportional to 76,465.60, 114,642.48 and 51,443.44

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Solution

The fourth proportional to 76,465.60, 114,642.48 and 51,443.44 is: 77,127.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,465.60 : 114,642.48 = 51,443.44 : x
  2. Step 2: Convert to fraction form
    76,465.60/114,642.48 = 51,443.44/x
  3. Step 3: Cross multiply
    76,465.60x = 114,642.48 × 51,443.44
  4. Step 4: Simplify right side
    76,465.60x = 5,897,603,541.33
  5. Step 5: Solve for x
    x = 5,897,603,541.33/76,465.60
  6. Step 6: Final answer
    x = 77,127.54

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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.