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Finding the Fourth Proportional to 82,713.40, 114,170.46 and 46,927.20

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Solution

The fourth proportional to 82,713.40, 114,170.46 and 46,927.20 is: 64,774.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,713.40 : 114,170.46 = 46,927.20 : x
  2. Step 2: Convert to fraction form
    82,713.40/114,170.46 = 46,927.20/x
  3. Step 3: Cross multiply
    82,713.40x = 114,170.46 × 46,927.20
  4. Step 4: Simplify right side
    82,713.40x = 5,357,700,010.51
  5. Step 5: Solve for x
    x = 5,357,700,010.51/82,713.40
  6. Step 6: Final answer
    x = 64,774.27

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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.