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Finding the Fourth Proportional to 76,115.40, 105,023.52 and 52,233.36

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Solution

The fourth proportional to 76,115.40, 105,023.52 and 52,233.36 is: 72,071.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,115.40 : 105,023.52 = 52,233.36 : x
  2. Step 2: Convert to fraction form
    76,115.40/105,023.52 = 52,233.36/x
  3. Step 3: Cross multiply
    76,115.40x = 105,023.52 × 52,233.36
  4. Step 4: Simplify right side
    76,115.40x = 5,485,731,328.63
  5. Step 5: Solve for x
    x = 5,485,731,328.63/76,115.40
  6. Step 6: Final answer
    x = 72,071.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.