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Finding the Fourth Proportional to 82,128, 113,336.64 and 44,402.25

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Solution

The fourth proportional to 82,128, 113,336.64 and 44,402.25 is: 61,275.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,128 : 113,336.64 = 44,402.25 : x
  2. Step 2: Convert to fraction form
    82,128/113,336.64 = 44,402.25/x
  3. Step 3: Cross multiply
    82,128x = 113,336.64 × 44,402.25
  4. Step 4: Simplify right side
    82,128x = 5,032,401,823.44
  5. Step 5: Solve for x
    x = 5,032,401,823.44/82,128
  6. Step 6: Final answer
    x = 61,275.11

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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.