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Finding the Fourth Proportional to 32,636, 45,038.04 and 17,732

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Solution

The fourth proportional to 32,636, 45,038.04 and 17,732 is: 24,470.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,636 : 45,038.04 = 17,732 : x
  2. Step 2: Convert to fraction form
    32,636/45,038.04 = 17,732/x
  3. Step 3: Cross multiply
    32,636x = 45,038.04 × 17,732
  4. Step 4: Simplify right side
    32,636x = 798,614,525.28
  5. Step 5: Solve for x
    x = 798,614,525.28/32,636
  6. Step 6: Final answer
    x = 24,470.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.