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Finding the Fourth Proportional to 82,913.18, 114,414.72 and 46,620.20

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Solution

The fourth proportional to 82,913.18, 114,414.72 and 46,620.20 is: 64,332.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,913.18 : 114,414.72 = 46,620.20 : x
  2. Step 2: Convert to fraction form
    82,913.18/114,414.72 = 46,620.20/x
  3. Step 3: Cross multiply
    82,913.18x = 114,414.72 × 46,620.20
  4. Step 4: Simplify right side
    82,913.18x = 5,334,037,129.34
  5. Step 5: Solve for x
    x = 5,334,037,129.34/82,913.18
  6. Step 6: Final answer
    x = 64,332.80

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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.