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Finding the Fourth Proportional to 70,201.18, 105,242.54 and 32,741.52

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Solution

The fourth proportional to 70,201.18, 105,242.54 and 32,741.52 is: 49,084.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,201.18 : 105,242.54 = 32,741.52 : x
  2. Step 2: Convert to fraction form
    70,201.18/105,242.54 = 32,741.52/x
  3. Step 3: Cross multiply
    70,201.18x = 105,242.54 × 32,741.52
  4. Step 4: Simplify right side
    70,201.18x = 3,445,800,354.06
  5. Step 5: Solve for x
    x = 3,445,800,354.06/70,201.18
  6. Step 6: Final answer
    x = 49,084.65

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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.