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Finding the Fourth Proportional to 32,509.88, 48,764.82 and 7,885.88

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Solution

The fourth proportional to 32,509.88, 48,764.82 and 7,885.88 is: 11,828.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,509.88 : 48,764.82 = 7,885.88 : x
  2. Step 2: Convert to fraction form
    32,509.88/48,764.82 = 7,885.88/x
  3. Step 3: Cross multiply
    32,509.88x = 48,764.82 × 7,885.88
  4. Step 4: Simplify right side
    32,509.88x = 384,553,518.74
  5. Step 5: Solve for x
    x = 384,553,518.74/32,509.88
  6. Step 6: Final answer
    x = 11,828.82

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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.