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Finding the Fourth Proportional to 55,365, 76,403.78 and 30,214.50

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Solution

The fourth proportional to 55,365, 76,403.78 and 30,214.50 is: 41,696.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,365 : 76,403.78 = 30,214.50 : x
  2. Step 2: Convert to fraction form
    55,365/76,403.78 = 30,214.50/x
  3. Step 3: Cross multiply
    55,365x = 76,403.78 × 30,214.50
  4. Step 4: Simplify right side
    55,365x = 2,308,501,859.74
  5. Step 5: Solve for x
    x = 2,308,501,859.74/55,365
  6. Step 6: Final answer
    x = 41,696.05

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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.