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Finding the Fourth Proportional to 32,454, 44,786.66 and 17,550

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Solution

The fourth proportional to 32,454, 44,786.66 and 17,550 is: 24,219.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,454 : 44,786.66 = 17,550 : x
  2. Step 2: Convert to fraction form
    32,454/44,786.66 = 17,550/x
  3. Step 3: Cross multiply
    32,454x = 44,786.66 × 17,550
  4. Step 4: Simplify right side
    32,454x = 786,005,795.25
  5. Step 5: Solve for x
    x = 786,005,795.25/32,454
  6. Step 6: Final answer
    x = 24,219.07

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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.