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Finding the Fourth Proportional to 57,482.91, 86,237.34 and 17,505.47

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Solution

The fourth proportional to 57,482.91, 86,237.34 and 17,505.47 is: 26,262.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,482.91 : 86,237.34 = 17,505.47 : x
  2. Step 2: Convert to fraction form
    57,482.91/86,237.34 = 17,505.47/x
  3. Step 3: Cross multiply
    57,482.91x = 86,237.34 × 17,505.47
  4. Step 4: Simplify right side
    57,482.91x = 1,509,625,168.25
  5. Step 5: Solve for x
    x = 1,509,625,168.25/57,482.91
  6. Step 6: Final answer
    x = 26,262.16

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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.