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Finding the Fourth Proportional to 43,536, 60,080.64 and 23,664

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Solution

The fourth proportional to 43,536, 60,080.64 and 23,664 is: 32,656.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,536 : 60,080.64 = 23,664 : x
  2. Step 2: Convert to fraction form
    43,536/60,080.64 = 23,664/x
  3. Step 3: Cross multiply
    43,536x = 60,080.64 × 23,664
  4. Step 4: Simplify right side
    43,536x = 1,421,748,264.96
  5. Step 5: Solve for x
    x = 1,421,748,264.96/43,536
  6. Step 6: Final answer
    x = 32,656.84

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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.