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Finding the Fourth Proportional to 75,656.49, 104,476.82 and 47,411.39

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Solution

The fourth proportional to 75,656.49, 104,476.82 and 47,411.39 is: 65,472.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,656.49 : 104,476.82 = 47,411.39 : x
  2. Step 2: Convert to fraction form
    75,656.49/104,476.82 = 47,411.39/x
  3. Step 3: Cross multiply
    75,656.49x = 104,476.82 × 47,411.39
  4. Step 4: Simplify right side
    75,656.49x = 4,953,390,499.54
  5. Step 5: Solve for x
    x = 4,953,390,499.54/75,656.49
  6. Step 6: Final answer
    x = 65,472.12

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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.