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Finding the Fourth Proportional to 76,492.80, 114,739.20 and 57,830.40

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Solution

The fourth proportional to 76,492.80, 114,739.20 and 57,830.40 is: 86,745.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,492.80 : 114,739.20 = 57,830.40 : x
  2. Step 2: Convert to fraction form
    76,492.80/114,739.20 = 57,830.40/x
  3. Step 3: Cross multiply
    76,492.80x = 114,739.20 × 57,830.40
  4. Step 4: Simplify right side
    76,492.80x = 6,635,413,831.68
  5. Step 5: Solve for x
    x = 6,635,413,831.68/76,492.80
  6. Step 6: Final answer
    x = 86,745.60

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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.