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Finding the Fourth Proportional to 110,461.20, 165,719.40 and 35,588.40

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Solution

The fourth proportional to 110,461.20, 165,719.40 and 35,588.40 is: 53,391.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,461.20 : 165,719.40 = 35,588.40 : x
  2. Step 2: Convert to fraction form
    110,461.20/165,719.40 = 35,588.40/x
  3. Step 3: Cross multiply
    110,461.20x = 165,719.40 × 35,588.40
  4. Step 4: Simplify right side
    110,461.20x = 5,897,688,294.96
  5. Step 5: Solve for x
    x = 5,897,688,294.96/110,461.20
  6. Step 6: Final answer
    x = 53,391.49

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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.