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Finding the Fourth Proportional to 32,138.22, 48,211.92 and 9,953.58

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Solution

The fourth proportional to 32,138.22, 48,211.92 and 9,953.58 is: 14,931.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,138.22 : 48,211.92 = 9,953.58 : x
  2. Step 2: Convert to fraction form
    32,138.22/48,211.92 = 9,953.58/x
  3. Step 3: Cross multiply
    32,138.22x = 48,211.92 × 9,953.58
  4. Step 4: Simplify right side
    32,138.22x = 479,881,202.67
  5. Step 5: Solve for x
    x = 479,881,202.67/32,138.22
  6. Step 6: Final answer
    x = 14,931.79

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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.