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Finding the Fourth Proportional to 76,771.60, 114,897.30 and 47,208.16

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Solution

The fourth proportional to 76,771.60, 114,897.30 and 47,208.16 is: 70,652.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,771.60 : 114,897.30 = 47,208.16 : x
  2. Step 2: Convert to fraction form
    76,771.60/114,897.30 = 47,208.16/x
  3. Step 3: Cross multiply
    76,771.60x = 114,897.30 × 47,208.16
  4. Step 4: Simplify right side
    76,771.60x = 5,424,090,121.97
  5. Step 5: Solve for x
    x = 5,424,090,121.97/76,771.60
  6. Step 6: Final answer
    x = 70,652.30

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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.