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Finding the Fourth Proportional to 78,220.94, 107,944.38 and 42,410.84

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Solution

The fourth proportional to 78,220.94, 107,944.38 and 42,410.84 is: 58,526.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,220.94 : 107,944.38 = 42,410.84 : x
  2. Step 2: Convert to fraction form
    78,220.94/107,944.38 = 42,410.84/x
  3. Step 3: Cross multiply
    78,220.94x = 107,944.38 × 42,410.84
  4. Step 4: Simplify right side
    78,220.94x = 4,578,011,829.08
  5. Step 5: Solve for x
    x = 4,578,011,829.08/78,220.94
  6. Step 6: Final answer
    x = 58,526.68

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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.