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Finding the Fourth Proportional to 75,765.54, 104,535.45 and 43,500

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Solution

The fourth proportional to 75,765.54, 104,535.45 and 43,500 is: 60,017.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,765.54 : 104,535.45 = 43,500 : x
  2. Step 2: Convert to fraction form
    75,765.54/104,535.45 = 43,500/x
  3. Step 3: Cross multiply
    75,765.54x = 104,535.45 × 43,500
  4. Step 4: Simplify right side
    75,765.54x = 4,547,292,075
  5. Step 5: Solve for x
    x = 4,547,292,075/75,765.54
  6. Step 6: Final answer
    x = 60,017.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.