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Finding the Fourth Proportional to 32,574, 44,952.36 and 17,670

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Solution

The fourth proportional to 32,574, 44,952.36 and 17,670 is: 24,384.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,574 : 44,952.36 = 17,670 : x
  2. Step 2: Convert to fraction form
    32,574/44,952.36 = 17,670/x
  3. Step 3: Cross multiply
    32,574x = 44,952.36 × 17,670
  4. Step 4: Simplify right side
    32,574x = 794,308,201.20
  5. Step 5: Solve for x
    x = 794,308,201.20/32,574
  6. Step 6: Final answer
    x = 24,384.73

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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.