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Finding the Fourth Proportional to 55,332.29, 76,358.57 and 31,460.42

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Solution

The fourth proportional to 55,332.29, 76,358.57 and 31,460.42 is: 43,415.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,332.29 : 76,358.57 = 31,460.42 : x
  2. Step 2: Convert to fraction form
    55,332.29/76,358.57 = 31,460.42/x
  3. Step 3: Cross multiply
    55,332.29x = 76,358.57 × 31,460.42
  4. Step 4: Simplify right side
    55,332.29x = 2,402,272,716.39
  5. Step 5: Solve for x
    x = 2,402,272,716.39/55,332.29
  6. Step 6: Final answer
    x = 43,415.38

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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.