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Finding the Fourth Proportional to 52,051.72, 71,831.54 and 28,178.59

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Solution

The fourth proportional to 52,051.72, 71,831.54 and 28,178.59 is: 38,886.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,051.72 : 71,831.54 = 28,178.59 : x
  2. Step 2: Convert to fraction form
    52,051.72/71,831.54 = 28,178.59/x
  3. Step 3: Cross multiply
    52,051.72x = 71,831.54 × 28,178.59
  4. Step 4: Simplify right side
    52,051.72x = 2,024,111,514.73
  5. Step 5: Solve for x
    x = 2,024,111,514.73/52,051.72
  6. Step 6: Final answer
    x = 38,886.54

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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.