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Finding the Fourth Proportional to 44,316.22, 61,178.96 and 34,222

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Solution

The fourth proportional to 44,316.22, 61,178.96 and 34,222 is: 47,243.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,316.22 : 61,178.96 = 34,222 : x
  2. Step 2: Convert to fraction form
    44,316.22/61,178.96 = 34,222/x
  3. Step 3: Cross multiply
    44,316.22x = 61,178.96 × 34,222
  4. Step 4: Simplify right side
    44,316.22x = 2,093,666,369.12
  5. Step 5: Solve for x
    x = 2,093,666,369.12/44,316.22
  6. Step 6: Final answer
    x = 47,243.79

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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.