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Finding the Fourth Proportional to 104,750.28, 157,032.48 and 38,178

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Solution

The fourth proportional to 104,750.28, 157,032.48 and 38,178 is: 57,233.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,750.28 : 157,032.48 = 38,178 : x
  2. Step 2: Convert to fraction form
    104,750.28/157,032.48 = 38,178/x
  3. Step 3: Cross multiply
    104,750.28x = 157,032.48 × 38,178
  4. Step 4: Simplify right side
    104,750.28x = 5,995,186,021.44
  5. Step 5: Solve for x
    x = 5,995,186,021.44/104,750.28
  6. Step 6: Final answer
    x = 57,233.13

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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.