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Finding the Fourth Proportional to 52,038.25, 71,812.65 and 28,164.93

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Solution

The fourth proportional to 52,038.25, 71,812.65 and 28,164.93 is: 38,867.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,038.25 : 71,812.65 = 28,164.93 : x
  2. Step 2: Convert to fraction form
    52,038.25/71,812.65 = 28,164.93/x
  3. Step 3: Cross multiply
    52,038.25x = 71,812.65 × 28,164.93
  4. Step 4: Simplify right side
    52,038.25x = 2,022,598,260.36
  5. Step 5: Solve for x
    x = 2,022,598,260.36/52,038.25
  6. Step 6: Final answer
    x = 38,867.53

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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.