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Finding the Fourth Proportional to 82,643.92, 114,083.45 and 55,822.80

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Solution

The fourth proportional to 82,643.92, 114,083.45 and 55,822.80 is: 77,059.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,643.92 : 114,083.45 = 55,822.80 : x
  2. Step 2: Convert to fraction form
    82,643.92/114,083.45 = 55,822.80/x
  3. Step 3: Cross multiply
    82,643.92x = 114,083.45 × 55,822.80
  4. Step 4: Simplify right side
    82,643.92x = 6,368,457,612.66
  5. Step 5: Solve for x
    x = 6,368,457,612.66/82,643.92
  6. Step 6: Final answer
    x = 77,059.00

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.