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Finding the Fourth Proportional to 75,570, 113,359.68 and 22,983.36

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Solution

The fourth proportional to 75,570, 113,359.68 and 22,983.36 is: 34,476.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,570 : 113,359.68 = 22,983.36 : x
  2. Step 2: Convert to fraction form
    75,570/113,359.68 = 22,983.36/x
  3. Step 3: Cross multiply
    75,570x = 113,359.68 × 22,983.36
  4. Step 4: Simplify right side
    75,570x = 2,605,386,334.92
  5. Step 5: Solve for x
    x = 2,605,386,334.92/75,570
  6. Step 6: Final answer
    x = 34,476.46

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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.