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Finding the Fourth Proportional to 75,295.48, 112,967.82 and 54,218.26

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Solution

The fourth proportional to 75,295.48, 112,967.82 and 54,218.26 is: 81,345.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,295.48 : 112,967.82 = 54,218.26 : x
  2. Step 2: Convert to fraction form
    75,295.48/112,967.82 = 54,218.26/x
  3. Step 3: Cross multiply
    75,295.48x = 112,967.82 × 54,218.26
  4. Step 4: Simplify right side
    75,295.48x = 6,124,918,636.39
  5. Step 5: Solve for x
    x = 6,124,918,636.39/75,295.48
  6. Step 6: Final answer
    x = 81,345.10

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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.