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Finding the Fourth Proportional to 76,572, 105,675.84 and 43,044.48

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Solution

The fourth proportional to 76,572, 105,675.84 and 43,044.48 is: 59,405.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,572 : 105,675.84 = 43,044.48 : x
  2. Step 2: Convert to fraction form
    76,572/105,675.84 = 43,044.48/x
  3. Step 3: Cross multiply
    76,572x = 105,675.84 × 43,044.48
  4. Step 4: Simplify right side
    76,572x = 4,548,761,581.36
  5. Step 5: Solve for x
    x = 4,548,761,581.36/76,572
  6. Step 6: Final answer
    x = 59,405.03

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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.