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Finding the Fourth Proportional to 32,113.71, 48,158.60 and 11,047.86

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Solution

The fourth proportional to 32,113.71, 48,158.60 and 11,047.86 is: 16,567.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,113.71 : 48,158.60 = 11,047.86 : x
  2. Step 2: Convert to fraction form
    32,113.71/48,158.60 = 11,047.86/x
  3. Step 3: Cross multiply
    32,113.71x = 48,158.60 × 11,047.86
  4. Step 4: Simplify right side
    32,113.71x = 532,049,415.36
  5. Step 5: Solve for x
    x = 532,049,415.36/32,113.71
  6. Step 6: Final answer
    x = 16,567.67

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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.