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Finding the Fourth Proportional to 53,348.22, 79,966.17 and 17,800.02

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Solution

The fourth proportional to 53,348.22, 79,966.17 and 17,800.02 is: 26,681.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,348.22 : 79,966.17 = 17,800.02 : x
  2. Step 2: Convert to fraction form
    53,348.22/79,966.17 = 17,800.02/x
  3. Step 3: Cross multiply
    53,348.22x = 79,966.17 × 17,800.02
  4. Step 4: Simplify right side
    53,348.22x = 1,423,399,425.32
  5. Step 5: Solve for x
    x = 1,423,399,425.32/53,348.22
  6. Step 6: Final answer
    x = 26,681.29

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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.