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Finding the Fourth Proportional to 32,103.84, 44,303.58 and 17,958

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Solution

The fourth proportional to 32,103.84, 44,303.58 and 17,958 is: 24,782.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,103.84 : 44,303.58 = 17,958 : x
  2. Step 2: Convert to fraction form
    32,103.84/44,303.58 = 17,958/x
  3. Step 3: Cross multiply
    32,103.84x = 44,303.58 × 17,958
  4. Step 4: Simplify right side
    32,103.84x = 795,603,689.64
  5. Step 5: Solve for x
    x = 795,603,689.64/32,103.84
  6. Step 6: Final answer
    x = 24,782.20

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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.