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Finding the Fourth Proportional to 35,708.64, 53,542.88 and 14,642.88

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Solution

The fourth proportional to 35,708.64, 53,542.88 and 14,642.88 is: 21,956.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,708.64 : 53,542.88 = 14,642.88 : x
  2. Step 2: Convert to fraction form
    35,708.64/53,542.88 = 14,642.88/x
  3. Step 3: Cross multiply
    35,708.64x = 53,542.88 × 14,642.88
  4. Step 4: Simplify right side
    35,708.64x = 784,021,966.69
  5. Step 5: Solve for x
    x = 784,021,966.69/35,708.64
  6. Step 6: Final answer
    x = 21,956.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.