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Finding the Fourth Proportional to 70,732.67, 106,145.75 and 33,303.45

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Solution

The fourth proportional to 70,732.67, 106,145.75 and 33,303.45 is: 49,977.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,732.67 : 106,145.75 = 33,303.45 : x
  2. Step 2: Convert to fraction form
    70,732.67/106,145.75 = 33,303.45/x
  3. Step 3: Cross multiply
    70,732.67x = 106,145.75 × 33,303.45
  4. Step 4: Simplify right side
    70,732.67x = 3,535,018,980.59
  5. Step 5: Solve for x
    x = 3,535,018,980.59/70,732.67
  6. Step 6: Final answer
    x = 49,977.17

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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.