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Finding the Fourth Proportional to 82,766.99, 114,210.54 and 46,460.13

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Solution

The fourth proportional to 82,766.99, 114,210.54 and 46,460.13 is: 64,110.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,766.99 : 114,210.54 = 46,460.13 : x
  2. Step 2: Convert to fraction form
    82,766.99/114,210.54 = 46,460.13/x
  3. Step 3: Cross multiply
    82,766.99x = 114,210.54 × 46,460.13
  4. Step 4: Simplify right side
    82,766.99x = 5,306,236,107.48
  5. Step 5: Solve for x
    x = 5,306,236,107.48/82,766.99
  6. Step 6: Final answer
    x = 64,110.53

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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.