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Finding the Fourth Proportional to 78,736.72, 108,666.48 and 45,202

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Solution

The fourth proportional to 78,736.72, 108,666.48 and 45,202 is: 62,384.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,736.72 : 108,666.48 = 45,202 : x
  2. Step 2: Convert to fraction form
    78,736.72/108,666.48 = 45,202/x
  3. Step 3: Cross multiply
    78,736.72x = 108,666.48 × 45,202
  4. Step 4: Simplify right side
    78,736.72x = 4,911,942,228.96
  5. Step 5: Solve for x
    x = 4,911,942,228.96/78,736.72
  6. Step 6: Final answer
    x = 62,384.39

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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.