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Finding the Fourth Proportional to 32,674.16, 45,090.35 and 18,527

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Solution

The fourth proportional to 32,674.16, 45,090.35 and 18,527 is: 25,567.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,674.16 : 45,090.35 = 18,527 : x
  2. Step 2: Convert to fraction form
    32,674.16/45,090.35 = 18,527/x
  3. Step 3: Cross multiply
    32,674.16x = 45,090.35 × 18,527
  4. Step 4: Simplify right side
    32,674.16x = 835,388,914.45
  5. Step 5: Solve for x
    x = 835,388,914.45/32,674.16
  6. Step 6: Final answer
    x = 25,567.27

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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.