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Finding the Fourth Proportional to 109,509.54, 164,264.33 and 38,487.93

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Solution

The fourth proportional to 109,509.54, 164,264.33 and 38,487.93 is: 57,731.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,509.54 : 164,264.33 = 38,487.93 : x
  2. Step 2: Convert to fraction form
    109,509.54/164,264.33 = 38,487.93/x
  3. Step 3: Cross multiply
    109,509.54x = 164,264.33 × 38,487.93
  4. Step 4: Simplify right side
    109,509.54x = 6,322,194,034.54
  5. Step 5: Solve for x
    x = 6,322,194,034.54/109,509.54
  6. Step 6: Final answer
    x = 57,731.90

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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.