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Finding the Fourth Proportional to 32,185, 44,411.70 and 18,035.80

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Solution

The fourth proportional to 32,185, 44,411.70 and 18,035.80 is: 24,887.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,185 : 44,411.70 = 18,035.80 : x
  2. Step 2: Convert to fraction form
    32,185/44,411.70 = 18,035.80/x
  3. Step 3: Cross multiply
    32,185x = 44,411.70 × 18,035.80
  4. Step 4: Simplify right side
    32,185x = 801,000,538.86
  5. Step 5: Solve for x
    x = 801,000,538.86/32,185
  6. Step 6: Final answer
    x = 24,887.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.