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Finding the Fourth Proportional to 82,624.30, 114,021.22 and 46,821.16

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Solution

The fourth proportional to 82,624.30, 114,021.22 and 46,821.16 is: 64,613.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,624.30 : 114,021.22 = 46,821.16 : x
  2. Step 2: Convert to fraction form
    82,624.30/114,021.22 = 46,821.16/x
  3. Step 3: Cross multiply
    82,624.30x = 114,021.22 × 46,821.16
  4. Step 4: Simplify right side
    82,624.30x = 5,338,605,785.02
  5. Step 5: Solve for x
    x = 5,338,605,785.02/82,624.30
  6. Step 6: Final answer
    x = 64,613.02

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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.