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Finding the Fourth Proportional to 32,153.96, 48,251 and 14,384.60

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Solution

The fourth proportional to 32,153.96, 48,251 and 14,384.60 is: 21,585.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,153.96 : 48,251 = 14,384.60 : x
  2. Step 2: Convert to fraction form
    32,153.96/48,251 = 14,384.60/x
  3. Step 3: Cross multiply
    32,153.96x = 48,251 × 14,384.60
  4. Step 4: Simplify right side
    32,153.96x = 694,071,334.60
  5. Step 5: Solve for x
    x = 694,071,334.60/32,153.96
  6. Step 6: Final answer
    x = 21,585.87

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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.