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Finding the Fourth Proportional to 32,628, 45,026.64 and 17,724

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Solution

The fourth proportional to 32,628, 45,026.64 and 17,724 is: 24,459.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,628 : 45,026.64 = 17,724 : x
  2. Step 2: Convert to fraction form
    32,628/45,026.64 = 17,724/x
  3. Step 3: Cross multiply
    32,628x = 45,026.64 × 17,724
  4. Step 4: Simplify right side
    32,628x = 798,052,167.36
  5. Step 5: Solve for x
    x = 798,052,167.36/32,628
  6. Step 6: Final answer
    x = 24,459.12

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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.