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Finding the Fourth Proportional to 113,638.60, 170,457.84 and 34,752.84

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Solution

The fourth proportional to 113,638.60, 170,457.84 and 34,752.84 is: 52,129.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,638.60 : 170,457.84 = 34,752.84 : x
  2. Step 2: Convert to fraction form
    113,638.60/170,457.84 = 34,752.84/x
  3. Step 3: Cross multiply
    113,638.60x = 170,457.84 × 34,752.84
  4. Step 4: Simplify right side
    113,638.60x = 5,923,894,040.27
  5. Step 5: Solve for x
    x = 5,923,894,040.27/113,638.60
  6. Step 6: Final answer
    x = 52,129.24

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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.