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Finding the Fourth Proportional to 103,952.51, 155,904.93 and 29,077.96

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Solution

The fourth proportional to 103,952.51, 155,904.93 and 29,077.96 is: 43,610.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,952.51 : 155,904.93 = 29,077.96 : x
  2. Step 2: Convert to fraction form
    103,952.51/155,904.93 = 29,077.96/x
  3. Step 3: Cross multiply
    103,952.51x = 155,904.93 × 29,077.96
  4. Step 4: Simplify right side
    103,952.51x = 4,533,397,577.60
  5. Step 5: Solve for x
    x = 4,533,397,577.60/103,952.51
  6. Step 6: Final answer
    x = 43,610.27

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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.