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Finding the Fourth Proportional to 32,337.12, 48,457.02 and 18,282

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Solution

The fourth proportional to 32,337.12, 48,457.02 and 18,282 is: 27,395.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,337.12 : 48,457.02 = 18,282 : x
  2. Step 2: Convert to fraction form
    32,337.12/48,457.02 = 18,282/x
  3. Step 3: Cross multiply
    32,337.12x = 48,457.02 × 18,282
  4. Step 4: Simplify right side
    32,337.12x = 885,891,239.64
  5. Step 5: Solve for x
    x = 885,891,239.64/32,337.12
  6. Step 6: Final answer
    x = 27,395.49

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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.