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Finding the Fourth Proportional to 55,071.76, 75,992.54 and 32,405.76

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Solution

The fourth proportional to 55,071.76, 75,992.54 and 32,405.76 is: 44,716.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,071.76 : 75,992.54 = 32,405.76 : x
  2. Step 2: Convert to fraction form
    55,071.76/75,992.54 = 32,405.76/x
  3. Step 3: Cross multiply
    55,071.76x = 75,992.54 × 32,405.76
  4. Step 4: Simplify right side
    55,071.76x = 2,462,596,013.03
  5. Step 5: Solve for x
    x = 2,462,596,013.03/55,071.76
  6. Step 6: Final answer
    x = 44,716.13

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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.