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Finding the Fourth Proportional to 50,302.69, 69,417.33 and 27,332.32

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Solution

The fourth proportional to 50,302.69, 69,417.33 and 27,332.32 is: 37,718.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,302.69 : 69,417.33 = 27,332.32 : x
  2. Step 2: Convert to fraction form
    50,302.69/69,417.33 = 27,332.32/x
  3. Step 3: Cross multiply
    50,302.69x = 69,417.33 × 27,332.32
  4. Step 4: Simplify right side
    50,302.69x = 1,897,336,677.11
  5. Step 5: Solve for x
    x = 1,897,336,677.11/50,302.69
  6. Step 6: Final answer
    x = 37,718.39

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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.