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Finding the Fourth Proportional to 32,411.40, 44,727.76 and 17,507.40

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Solution

The fourth proportional to 32,411.40, 44,727.76 and 17,507.40 is: 24,160.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,411.40 : 44,727.76 = 17,507.40 : x
  2. Step 2: Convert to fraction form
    32,411.40/44,727.76 = 17,507.40/x
  3. Step 3: Cross multiply
    32,411.40x = 44,727.76 × 17,507.40
  4. Step 4: Simplify right side
    32,411.40x = 783,066,785.42
  5. Step 5: Solve for x
    x = 783,066,785.42/32,411.40
  6. Step 6: Final answer
    x = 24,160.23

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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.