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Finding the Fourth Proportional to 52,905.72, 73,009.70 and 29,032.80

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Solution

The fourth proportional to 52,905.72, 73,009.70 and 29,032.80 is: 40,065.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,905.72 : 73,009.70 = 29,032.80 : x
  2. Step 2: Convert to fraction form
    52,905.72/73,009.70 = 29,032.80/x
  3. Step 3: Cross multiply
    52,905.72x = 73,009.70 × 29,032.80
  4. Step 4: Simplify right side
    52,905.72x = 2,119,675,873.00
  5. Step 5: Solve for x
    x = 2,119,675,873.00/52,905.72
  6. Step 6: Final answer
    x = 40,065.16

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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.