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Finding the Fourth Proportional to 43,584, 60,145.92 and 23,712

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Solution

The fourth proportional to 43,584, 60,145.92 and 23,712 is: 32,722.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,584 : 60,145.92 = 23,712 : x
  2. Step 2: Convert to fraction form
    43,584/60,145.92 = 23,712/x
  3. Step 3: Cross multiply
    43,584x = 60,145.92 × 23,712
  4. Step 4: Simplify right side
    43,584x = 1,426,180,055.04
  5. Step 5: Solve for x
    x = 1,426,180,055.04/43,584
  6. Step 6: Final answer
    x = 32,722.56

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Why These Related Problems?

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