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Finding the Fourth Proportional to 30,652.86, 45,969.30 and 9,871.50

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Solution

The fourth proportional to 30,652.86, 45,969.30 and 9,871.50 is: 14,804.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,652.86 : 45,969.30 = 9,871.50 : x
  2. Step 2: Convert to fraction form
    30,652.86/45,969.30 = 9,871.50/x
  3. Step 3: Cross multiply
    30,652.86x = 45,969.30 × 9,871.50
  4. Step 4: Simplify right side
    30,652.86x = 453,785,944.95
  5. Step 5: Solve for x
    x = 453,785,944.95/30,652.86
  6. Step 6: Final answer
    x = 14,804.03

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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.