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Finding the Fourth Proportional to 82,767.45, 114,211.17 and 46,460.58

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Solution

The fourth proportional to 82,767.45, 114,211.17 and 46,460.58 is: 64,111.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,767.45 : 114,211.17 = 46,460.58 : x
  2. Step 2: Convert to fraction form
    82,767.45/114,211.17 = 46,460.58/x
  3. Step 3: Cross multiply
    82,767.45x = 114,211.17 × 46,460.58
  4. Step 4: Simplify right side
    82,767.45x = 5,306,317,374.91
  5. Step 5: Solve for x
    x = 5,306,317,374.91/82,767.45
  6. Step 6: Final answer
    x = 64,111.16

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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.