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Finding the Fourth Proportional to 32,909.69, 45,415.17 and 17,802.29

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Solution

The fourth proportional to 32,909.69, 45,415.17 and 17,802.29 is: 24,567.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,909.69 : 45,415.17 = 17,802.29 : x
  2. Step 2: Convert to fraction form
    32,909.69/45,415.17 = 17,802.29/x
  3. Step 3: Cross multiply
    32,909.69x = 45,415.17 × 17,802.29
  4. Step 4: Simplify right side
    32,909.69x = 808,494,140.28
  5. Step 5: Solve for x
    x = 808,494,140.28/32,909.69
  6. Step 6: Final answer
    x = 24,567.05

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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.