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Finding the Fourth Proportional to 32,431, 44,754.78 and 17,527

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Solution

The fourth proportional to 32,431, 44,754.78 and 17,527 is: 24,187.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,431 : 44,754.78 = 17,527 : x
  2. Step 2: Convert to fraction form
    32,431/44,754.78 = 17,527/x
  3. Step 3: Cross multiply
    32,431x = 44,754.78 × 17,527
  4. Step 4: Simplify right side
    32,431x = 784,417,029.06
  5. Step 5: Solve for x
    x = 784,417,029.06/32,431
  6. Step 6: Final answer
    x = 24,187.26

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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.