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Finding the Fourth Proportional to 105,053.76, 157,609.80 and 44,290.80

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Solution

The fourth proportional to 105,053.76, 157,609.80 and 44,290.80 is: 66,448.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,053.76 : 157,609.80 = 44,290.80 : x
  2. Step 2: Convert to fraction form
    105,053.76/157,609.80 = 44,290.80/x
  3. Step 3: Cross multiply
    105,053.76x = 157,609.80 × 44,290.80
  4. Step 4: Simplify right side
    105,053.76x = 6,980,664,129.84
  5. Step 5: Solve for x
    x = 6,980,664,129.84/105,053.76
  6. Step 6: Final answer
    x = 66,448.49

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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.