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Finding the Fourth Proportional to 32,550, 48,824.88 and 9,176.40

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Solution

The fourth proportional to 32,550, 48,824.88 and 9,176.40 is: 13,764.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,550 : 48,824.88 = 9,176.40 : x
  2. Step 2: Convert to fraction form
    32,550/48,824.88 = 9,176.40/x
  3. Step 3: Cross multiply
    32,550x = 48,824.88 × 9,176.40
  4. Step 4: Simplify right side
    32,550x = 448,036,628.83
  5. Step 5: Solve for x
    x = 448,036,628.83/32,550
  6. Step 6: Final answer
    x = 13,764.57

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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.