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Finding the Fourth Proportional to 42,678.50, 64,024.70 and 16,026.56

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Solution

The fourth proportional to 42,678.50, 64,024.70 and 16,026.56 is: 24,042.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,678.50 : 64,024.70 = 16,026.56 : x
  2. Step 2: Convert to fraction form
    42,678.50/64,024.70 = 16,026.56/x
  3. Step 3: Cross multiply
    42,678.50x = 64,024.70 × 16,026.56
  4. Step 4: Simplify right side
    42,678.50x = 1,026,095,295.78
  5. Step 5: Solve for x
    x = 1,026,095,295.78/42,678.50
  6. Step 6: Final answer
    x = 24,042.44

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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.