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Finding the Fourth Proportional to 82,980.16, 114,511.39 and 46,678.86

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Solution

The fourth proportional to 82,980.16, 114,511.39 and 46,678.86 is: 64,416.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,980.16 : 114,511.39 = 46,678.86 : x
  2. Step 2: Convert to fraction form
    82,980.16/114,511.39 = 46,678.86/x
  3. Step 3: Cross multiply
    82,980.16x = 114,511.39 × 46,678.86
  4. Step 4: Simplify right side
    82,980.16x = 5,345,261,025.52
  5. Step 5: Solve for x
    x = 5,345,261,025.52/82,980.16
  6. Step 6: Final answer
    x = 64,416.13

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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.