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Finding the Fourth Proportional to 55,990.58, 77,239.78 and 35,831.30

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Solution

The fourth proportional to 55,990.58, 77,239.78 and 35,831.30 is: 49,429.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,990.58 : 77,239.78 = 35,831.30 : x
  2. Step 2: Convert to fraction form
    55,990.58/77,239.78 = 35,831.30/x
  3. Step 3: Cross multiply
    55,990.58x = 77,239.78 × 35,831.30
  4. Step 4: Simplify right side
    55,990.58x = 2,767,601,253.34
  5. Step 5: Solve for x
    x = 2,767,601,253.34/55,990.58
  6. Step 6: Final answer
    x = 49,429.77

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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.