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Finding the Fourth Proportional to 109,588.96, 164,390.72 and 38,502.96

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Solution

The fourth proportional to 109,588.96, 164,390.72 and 38,502.96 is: 57,757.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,588.96 : 164,390.72 = 38,502.96 : x
  2. Step 2: Convert to fraction form
    109,588.96/164,390.72 = 38,502.96/x
  3. Step 3: Cross multiply
    109,588.96x = 164,390.72 × 38,502.96
  4. Step 4: Simplify right side
    109,588.96x = 6,329,529,316.53
  5. Step 5: Solve for x
    x = 6,329,529,316.53/109,588.96
  6. Step 6: Final answer
    x = 57,757.00

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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.