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Finding the Fourth Proportional to 32,000.24, 48,000 and 14,457.80

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Solution

The fourth proportional to 32,000.24, 48,000 and 14,457.80 is: 21,686.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,000.24 : 48,000 = 14,457.80 : x
  2. Step 2: Convert to fraction form
    32,000.24/48,000 = 14,457.80/x
  3. Step 3: Cross multiply
    32,000.24x = 48,000 × 14,457.80
  4. Step 4: Simplify right side
    32,000.24x = 693,974,400
  5. Step 5: Solve for x
    x = 693,974,400/32,000.24
  6. Step 6: Final answer
    x = 21,686.54

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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.