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Finding the Fourth Proportional to 42,644.07, 63,970.02 and 11,054.07

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Solution

The fourth proportional to 42,644.07, 63,970.02 and 11,054.07 is: 16,582.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,644.07 : 63,970.02 = 11,054.07 : x
  2. Step 2: Convert to fraction form
    42,644.07/63,970.02 = 11,054.07/x
  3. Step 3: Cross multiply
    42,644.07x = 63,970.02 × 11,054.07
  4. Step 4: Simplify right side
    42,644.07x = 707,129,078.98
  5. Step 5: Solve for x
    x = 707,129,078.98/42,644.07
  6. Step 6: Final answer
    x = 16,582.12

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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.