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Finding the Fourth Proportional to 52,152.38, 72,029.69 and 35,356.22

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Solution

The fourth proportional to 52,152.38, 72,029.69 and 35,356.22 is: 48,831.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,152.38 : 72,029.69 = 35,356.22 : x
  2. Step 2: Convert to fraction form
    52,152.38/72,029.69 = 35,356.22/x
  3. Step 3: Cross multiply
    52,152.38x = 72,029.69 × 35,356.22
  4. Step 4: Simplify right side
    52,152.38x = 2,546,697,566.17
  5. Step 5: Solve for x
    x = 2,546,697,566.17/52,152.38
  6. Step 6: Final answer
    x = 48,831.86

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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.