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Finding the Fourth Proportional to 105,054.33, 144,971.85 and 59,737.26

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Solution

The fourth proportional to 105,054.33, 144,971.85 and 59,737.26 is: 82,435.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,054.33 : 144,971.85 = 59,737.26 : x
  2. Step 2: Convert to fraction form
    105,054.33/144,971.85 = 59,737.26/x
  3. Step 3: Cross multiply
    105,054.33x = 144,971.85 × 59,737.26
  4. Step 4: Simplify right side
    105,054.33x = 8,660,221,096.13
  5. Step 5: Solve for x
    x = 8,660,221,096.13/105,054.33
  6. Step 6: Final answer
    x = 82,435.64

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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.