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Finding the Fourth Proportional to 82,893.90, 124,326.45 and 30,276.30

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Solution

The fourth proportional to 82,893.90, 124,326.45 and 30,276.30 is: 45,409.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,893.90 : 124,326.45 = 30,276.30 : x
  2. Step 2: Convert to fraction form
    82,893.90/124,326.45 = 30,276.30/x
  3. Step 3: Cross multiply
    82,893.90x = 124,326.45 × 30,276.30
  4. Step 4: Simplify right side
    82,893.90x = 3,764,144,898.14
  5. Step 5: Solve for x
    x = 3,764,144,898.14/82,893.90
  6. Step 6: Final answer
    x = 45,409.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.