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Finding the Fourth Proportional to 32,234.76, 48,354.30 and 12,509.64

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Solution

The fourth proportional to 32,234.76, 48,354.30 and 12,509.64 is: 18,765.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,234.76 : 48,354.30 = 12,509.64 : x
  2. Step 2: Convert to fraction form
    32,234.76/48,354.30 = 12,509.64/x
  3. Step 3: Cross multiply
    32,234.76x = 48,354.30 × 12,509.64
  4. Step 4: Simplify right side
    32,234.76x = 604,894,885.45
  5. Step 5: Solve for x
    x = 604,894,885.45/32,234.76
  6. Step 6: Final answer
    x = 18,765.30

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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.