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Finding the Fourth Proportional to 76,153.14, 105,091.32 and 42,619.14

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Solution

The fourth proportional to 76,153.14, 105,091.32 and 42,619.14 is: 58,814.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,153.14 : 105,091.32 = 42,619.14 : x
  2. Step 2: Convert to fraction form
    76,153.14/105,091.32 = 42,619.14/x
  3. Step 3: Cross multiply
    76,153.14x = 105,091.32 × 42,619.14
  4. Step 4: Simplify right side
    76,153.14x = 4,478,901,679.86
  5. Step 5: Solve for x
    x = 4,478,901,679.86/76,153.14
  6. Step 6: Final answer
    x = 58,814.41

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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.