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Finding the Fourth Proportional to 32,326.84, 48,491.38 and 8,955

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Solution

The fourth proportional to 32,326.84, 48,491.38 and 8,955 is: 13,432.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,326.84 : 48,491.38 = 8,955 : x
  2. Step 2: Convert to fraction form
    32,326.84/48,491.38 = 8,955/x
  3. Step 3: Cross multiply
    32,326.84x = 48,491.38 × 8,955
  4. Step 4: Simplify right side
    32,326.84x = 434,240,307.90
  5. Step 5: Solve for x
    x = 434,240,307.90/32,326.84
  6. Step 6: Final answer
    x = 13,432.81

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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.