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Finding the Fourth Proportional to 52,016.31, 71,782.32 and 28,143

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Solution

The fourth proportional to 52,016.31, 71,782.32 and 28,143 is: 38,837.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,016.31 : 71,782.32 = 28,143 : x
  2. Step 2: Convert to fraction form
    52,016.31/71,782.32 = 28,143/x
  3. Step 3: Cross multiply
    52,016.31x = 71,782.32 × 28,143
  4. Step 4: Simplify right side
    52,016.31x = 2,020,169,831.76
  5. Step 5: Solve for x
    x = 2,020,169,831.76/52,016.31
  6. Step 6: Final answer
    x = 38,837.24

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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.