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Finding the Fourth Proportional to 32,155.23, 44,373.18 and 17,814.47

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Solution

The fourth proportional to 32,155.23, 44,373.18 and 17,814.47 is: 24,583.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,155.23 : 44,373.18 = 17,814.47 : x
  2. Step 2: Convert to fraction form
    32,155.23/44,373.18 = 17,814.47/x
  3. Step 3: Cross multiply
    32,155.23x = 44,373.18 × 17,814.47
  4. Step 4: Simplify right side
    32,155.23x = 790,484,683.91
  5. Step 5: Solve for x
    x = 790,484,683.91/32,155.23
  6. Step 6: Final answer
    x = 24,583.39

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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.