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Finding the Fourth Proportional to 32,637, 45,039.08 and 17,733

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Solution

The fourth proportional to 32,637, 45,039.08 and 17,733 is: 24,471.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,637 : 45,039.08 = 17,733 : x
  2. Step 2: Convert to fraction form
    32,637/45,039.08 = 17,733/x
  3. Step 3: Cross multiply
    32,637x = 45,039.08 × 17,733
  4. Step 4: Simplify right side
    32,637x = 798,678,005.64
  5. Step 5: Solve for x
    x = 798,678,005.64/32,637
  6. Step 6: Final answer
    x = 24,471.55

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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.