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Finding the Fourth Proportional to 32,201.94, 48,303.10 and 14,659.50

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Solution

The fourth proportional to 32,201.94, 48,303.10 and 14,659.50 is: 21,989.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,201.94 : 48,303.10 = 14,659.50 : x
  2. Step 2: Convert to fraction form
    32,201.94/48,303.10 = 14,659.50/x
  3. Step 3: Cross multiply
    32,201.94x = 48,303.10 × 14,659.50
  4. Step 4: Simplify right side
    32,201.94x = 708,099,294.45
  5. Step 5: Solve for x
    x = 708,099,294.45/32,201.94
  6. Step 6: Final answer
    x = 21,989.34

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1.5x scale

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.