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Finding the Fourth Proportional to 82,254.66, 113,516.82 and 46,445.58

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Solution

The fourth proportional to 82,254.66, 113,516.82 and 46,445.58 is: 64,097.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,254.66 : 113,516.82 = 46,445.58 : x
  2. Step 2: Convert to fraction form
    82,254.66/113,516.82 = 46,445.58/x
  3. Step 3: Cross multiply
    82,254.66x = 113,516.82 × 46,445.58
  4. Step 4: Simplify right side
    82,254.66x = 5,272,354,544.66
  5. Step 5: Solve for x
    x = 5,272,354,544.66/82,254.66
  6. Step 6: Final answer
    x = 64,097.94

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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.