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Finding the Fourth Proportional to 70,618.48, 105,934.70 and 23,214.35

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Solution

The fourth proportional to 70,618.48, 105,934.70 and 23,214.35 is: 34,823.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,618.48 : 105,934.70 = 23,214.35 : x
  2. Step 2: Convert to fraction form
    70,618.48/105,934.70 = 23,214.35/x
  3. Step 3: Cross multiply
    70,618.48x = 105,934.70 × 23,214.35
  4. Step 4: Simplify right side
    70,618.48x = 2,459,204,929.93
  5. Step 5: Solve for x
    x = 2,459,204,929.93/70,618.48
  6. Step 6: Final answer
    x = 34,823.81

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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.