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Finding the Fourth Proportional to 100,715.58, 150,937.30 and 38,352.06

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Solution

The fourth proportional to 100,715.58, 150,937.30 and 38,352.06 is: 57,476.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,715.58 : 150,937.30 = 38,352.06 : x
  2. Step 2: Convert to fraction form
    100,715.58/150,937.30 = 38,352.06/x
  3. Step 3: Cross multiply
    100,715.58x = 150,937.30 × 38,352.06
  4. Step 4: Simplify right side
    100,715.58x = 5,788,756,385.84
  5. Step 5: Solve for x
    x = 5,788,756,385.84/100,715.58
  6. Step 6: Final answer
    x = 57,476.28

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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.