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Finding the Fourth Proportional to 52,051.98, 71,831.72 and 28,178.63

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Solution

The fourth proportional to 52,051.98, 71,831.72 and 28,178.63 is: 38,886.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,051.98 : 71,831.72 = 28,178.63 : x
  2. Step 2: Convert to fraction form
    52,051.98/71,831.72 = 28,178.63/x
  3. Step 3: Cross multiply
    52,051.98x = 71,831.72 × 28,178.63
  4. Step 4: Simplify right side
    52,051.98x = 2,024,119,460.14
  5. Step 5: Solve for x
    x = 2,024,119,460.14/52,051.98
  6. Step 6: Final answer
    x = 38,886.50

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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.