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Finding the Fourth Proportional to 82,580.80, 114,008.79 and 54,368.50

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Solution

The fourth proportional to 82,580.80, 114,008.79 and 54,368.50 is: 75,059.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,580.80 : 114,008.79 = 54,368.50 : x
  2. Step 2: Convert to fraction form
    82,580.80/114,008.79 = 54,368.50/x
  3. Step 3: Cross multiply
    82,580.80x = 114,008.79 × 54,368.50
  4. Step 4: Simplify right side
    82,580.80x = 6,198,486,899.12
  5. Step 5: Solve for x
    x = 6,198,486,899.12/82,580.80
  6. Step 6: Final answer
    x = 75,059.66

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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.