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Finding the Fourth Proportional to 78,057.60, 117,064.80 and 31,315.20

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Solution

The fourth proportional to 78,057.60, 117,064.80 and 31,315.20 is: 46,964.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,057.60 : 117,064.80 = 31,315.20 : x
  2. Step 2: Convert to fraction form
    78,057.60/117,064.80 = 31,315.20/x
  3. Step 3: Cross multiply
    78,057.60x = 117,064.80 × 31,315.20
  4. Step 4: Simplify right side
    78,057.60x = 3,665,907,624.96
  5. Step 5: Solve for x
    x = 3,665,907,624.96/78,057.60
  6. Step 6: Final answer
    x = 46,964.13

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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.