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Finding the Fourth Proportional to 32,005.70, 48,014.02 and 14,242.80

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Solution

The fourth proportional to 32,005.70, 48,014.02 and 14,242.80 is: 21,366.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,005.70 : 48,014.02 = 14,242.80 : x
  2. Step 2: Convert to fraction form
    32,005.70/48,014.02 = 14,242.80/x
  3. Step 3: Cross multiply
    32,005.70x = 48,014.02 × 14,242.80
  4. Step 4: Simplify right side
    32,005.70x = 683,854,084.06
  5. Step 5: Solve for x
    x = 683,854,084.06/32,005.70
  6. Step 6: Final answer
    x = 21,366.63

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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.