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Finding the Fourth Proportional to 70,147.06, 105,178.62 and 32,715.64

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Solution

The fourth proportional to 70,147.06, 105,178.62 and 32,715.64 is: 49,053.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,147.06 : 105,178.62 = 32,715.64 : x
  2. Step 2: Convert to fraction form
    70,147.06/105,178.62 = 32,715.64/x
  3. Step 3: Cross multiply
    70,147.06x = 105,178.62 × 32,715.64
  4. Step 4: Simplify right side
    70,147.06x = 3,440,985,867.62
  5. Step 5: Solve for x
    x = 3,440,985,867.62/70,147.06
  6. Step 6: Final answer
    x = 49,053.89

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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.