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Finding the Fourth Proportional to 76,259.97, 114,281.01 and 33,514.26

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Solution

The fourth proportional to 76,259.97, 114,281.01 and 33,514.26 is: 50,223.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,259.97 : 114,281.01 = 33,514.26 : x
  2. Step 2: Convert to fraction form
    76,259.97/114,281.01 = 33,514.26/x
  3. Step 3: Cross multiply
    76,259.97x = 114,281.01 × 33,514.26
  4. Step 4: Simplify right side
    76,259.97x = 3,830,043,482.20
  5. Step 5: Solve for x
    x = 3,830,043,482.20/76,259.97
  6. Step 6: Final answer
    x = 50,223.51

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