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Finding the Fourth Proportional to 116,980, 175,488.24 and 38,075.56

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Solution

The fourth proportional to 116,980, 175,488.24 and 38,075.56 is: 57,119.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,980 : 175,488.24 = 38,075.56 : x
  2. Step 2: Convert to fraction form
    116,980/175,488.24 = 38,075.56/x
  3. Step 3: Cross multiply
    116,980x = 175,488.24 × 38,075.56
  4. Step 4: Simplify right side
    116,980x = 6,681,813,011.41
  5. Step 5: Solve for x
    x = 6,681,813,011.41/116,980
  6. Step 6: Final answer
    x = 57,119.28

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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.