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Finding the Fourth Proportional to 82,466, 113,803.08 and 44,740.24

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Solution

The fourth proportional to 82,466, 113,803.08 and 44,740.24 is: 61,741.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,466 : 113,803.08 = 44,740.24 : x
  2. Step 2: Convert to fraction form
    82,466/113,803.08 = 44,740.24/x
  3. Step 3: Cross multiply
    82,466x = 113,803.08 × 44,740.24
  4. Step 4: Simplify right side
    82,466x = 5,091,577,111.94
  5. Step 5: Solve for x
    x = 5,091,577,111.94/82,466
  6. Step 6: Final answer
    x = 61,741.53

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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.