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Finding the Fourth Proportional to 44,817.48, 61,741.86 and 31,365

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Solution

The fourth proportional to 44,817.48, 61,741.86 and 31,365 is: 43,209.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,817.48 : 61,741.86 = 31,365 : x
  2. Step 2: Convert to fraction form
    44,817.48/61,741.86 = 31,365/x
  3. Step 3: Cross multiply
    44,817.48x = 61,741.86 × 31,365
  4. Step 4: Simplify right side
    44,817.48x = 1,936,533,438.90
  5. Step 5: Solve for x
    x = 1,936,533,438.90/44,817.48
  6. Step 6: Final answer
    x = 43,209.33

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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.