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Finding the Fourth Proportional to 32,166, 44,389.08 and 18,018.84

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Solution

The fourth proportional to 32,166, 44,389.08 and 18,018.84 is: 24,866.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,166 : 44,389.08 = 18,018.84 : x
  2. Step 2: Convert to fraction form
    32,166/44,389.08 = 18,018.84/x
  3. Step 3: Cross multiply
    32,166x = 44,389.08 × 18,018.84
  4. Step 4: Simplify right side
    32,166x = 799,839,730.27
  5. Step 5: Solve for x
    x = 799,839,730.27/32,166
  6. Step 6: Final answer
    x = 24,866.00

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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.