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Finding the Fourth Proportional to 70,373.14, 105,559.68 and 17,782.62

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Solution

The fourth proportional to 70,373.14, 105,559.68 and 17,782.62 is: 26,673.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,373.14 : 105,559.68 = 17,782.62 : x
  2. Step 2: Convert to fraction form
    70,373.14/105,559.68 = 17,782.62/x
  3. Step 3: Cross multiply
    70,373.14x = 105,559.68 × 17,782.62
  4. Step 4: Simplify right side
    70,373.14x = 1,877,127,676.76
  5. Step 5: Solve for x
    x = 1,877,127,676.76/70,373.14
  6. Step 6: Final answer
    x = 26,673.92

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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.