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Finding the Fourth Proportional to 84,477.78, 116,567.78 and 50,479.10

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Solution

The fourth proportional to 84,477.78, 116,567.78 and 50,479.10 is: 69,654.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,477.78 : 116,567.78 = 50,479.10 : x
  2. Step 2: Convert to fraction form
    84,477.78/116,567.78 = 50,479.10/x
  3. Step 3: Cross multiply
    84,477.78x = 116,567.78 × 50,479.10
  4. Step 4: Simplify right side
    84,477.78x = 5,884,236,623.40
  5. Step 5: Solve for x
    x = 5,884,236,623.40/84,477.78
  6. Step 6: Final answer
    x = 69,654.25

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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.