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Finding the Fourth Proportional to 100,457, 150,595.92 and 38,171.24

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Solution

The fourth proportional to 100,457, 150,595.92 and 38,171.24 is: 57,222.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,457 : 150,595.92 = 38,171.24 : x
  2. Step 2: Convert to fraction form
    100,457/150,595.92 = 38,171.24/x
  3. Step 3: Cross multiply
    100,457x = 150,595.92 × 38,171.24
  4. Step 4: Simplify right side
    100,457x = 5,748,433,005.34
  5. Step 5: Solve for x
    x = 5,748,433,005.34/100,457
  6. Step 6: Final answer
    x = 57,222.82

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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.