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Finding the Fourth Proportional to 76,172.66, 114,302.72 and 59,485.86

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Solution

The fourth proportional to 76,172.66, 114,302.72 and 59,485.86 is: 89,262.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,172.66 : 114,302.72 = 59,485.86 : x
  2. Step 2: Convert to fraction form
    76,172.66/114,302.72 = 59,485.86/x
  3. Step 3: Cross multiply
    76,172.66x = 114,302.72 × 59,485.86
  4. Step 4: Simplify right side
    76,172.66x = 6,799,395,599.54
  5. Step 5: Solve for x
    x = 6,799,395,599.54/76,172.66
  6. Step 6: Final answer
    x = 89,262.94

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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.