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Finding the Fourth Proportional to 76,752.50, 114,913.69 and 57,973.46

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Solution

The fourth proportional to 76,752.50, 114,913.69 and 57,973.46 is: 86,797.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,752.50 : 114,913.69 = 57,973.46 : x
  2. Step 2: Convert to fraction form
    76,752.50/114,913.69 = 57,973.46/x
  3. Step 3: Cross multiply
    76,752.50x = 114,913.69 × 57,973.46
  4. Step 4: Simplify right side
    76,752.50x = 6,661,943,491.17
  5. Step 5: Solve for x
    x = 6,661,943,491.17/76,752.50
  6. Step 6: Final answer
    x = 86,797.75

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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.