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Finding the Fourth Proportional to 76,425.60, 114,638.40 and 51,542.40

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Solution

The fourth proportional to 76,425.60, 114,638.40 and 51,542.40 is: 77,313.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,425.60 : 114,638.40 = 51,542.40 : x
  2. Step 2: Convert to fraction form
    76,425.60/114,638.40 = 51,542.40/x
  3. Step 3: Cross multiply
    76,425.60x = 114,638.40 × 51,542.40
  4. Step 4: Simplify right side
    76,425.60x = 5,908,738,268.16
  5. Step 5: Solve for x
    x = 5,908,738,268.16/76,425.60
  6. Step 6: Final answer
    x = 77,313.60

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