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Finding the Fourth Proportional to 32,909.63, 45,415.15 and 17,802.33

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Solution

The fourth proportional to 32,909.63, 45,415.15 and 17,802.33 is: 24,567.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,909.63 : 45,415.15 = 17,802.33 : x
  2. Step 2: Convert to fraction form
    32,909.63/45,415.15 = 17,802.33/x
  3. Step 3: Cross multiply
    32,909.63x = 45,415.15 × 17,802.33
  4. Step 4: Simplify right side
    32,909.63x = 808,495,487.30
  5. Step 5: Solve for x
    x = 808,495,487.30/32,909.63
  6. Step 6: Final answer
    x = 24,567.14

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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.