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Finding the Fourth Proportional to 53,046.47, 79,567.66 and 17,986.13

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Solution

The fourth proportional to 53,046.47, 79,567.66 and 17,986.13 is: 26,978.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,046.47 : 79,567.66 = 17,986.13 : x
  2. Step 2: Convert to fraction form
    53,046.47/79,567.66 = 17,986.13/x
  3. Step 3: Cross multiply
    53,046.47x = 79,567.66 × 17,986.13
  4. Step 4: Simplify right side
    53,046.47x = 1,431,114,276.56
  5. Step 5: Solve for x
    x = 1,431,114,276.56/53,046.47
  6. Step 6: Final answer
    x = 26,978.50

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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.