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Finding the Fourth Proportional to 78,016.70, 107,662.95 and 42,206.63

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Solution

The fourth proportional to 78,016.70, 107,662.95 and 42,206.63 is: 58,245.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,016.70 : 107,662.95 = 42,206.63 : x
  2. Step 2: Convert to fraction form
    78,016.70/107,662.95 = 42,206.63/x
  3. Step 3: Cross multiply
    78,016.70x = 107,662.95 × 42,206.63
  4. Step 4: Simplify right side
    78,016.70x = 4,544,090,295.36
  5. Step 5: Solve for x
    x = 4,544,090,295.36/78,016.70
  6. Step 6: Final answer
    x = 58,245.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.