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Finding the Fourth Proportional to 82,677, 124,015.50 and 24,309

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Solution

The fourth proportional to 82,677, 124,015.50 and 24,309 is: 36,463.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,677 : 124,015.50 = 24,309 : x
  2. Step 2: Convert to fraction form
    82,677/124,015.50 = 24,309/x
  3. Step 3: Cross multiply
    82,677x = 124,015.50 × 24,309
  4. Step 4: Simplify right side
    82,677x = 3,014,692,789.50
  5. Step 5: Solve for x
    x = 3,014,692,789.50/82,677
  6. Step 6: Final answer
    x = 36,463.50

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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.