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Finding the Fourth Proportional to 84,548.34, 116,678.82 and 46,309.98

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Solution

The fourth proportional to 84,548.34, 116,678.82 and 46,309.98 is: 63,908.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,548.34 : 116,678.82 = 46,309.98 : x
  2. Step 2: Convert to fraction form
    84,548.34/116,678.82 = 46,309.98/x
  3. Step 3: Cross multiply
    84,548.34x = 116,678.82 × 46,309.98
  4. Step 4: Simplify right side
    84,548.34x = 5,403,393,820.62
  5. Step 5: Solve for x
    x = 5,403,393,820.62/84,548.34
  6. Step 6: Final answer
    x = 63,908.93

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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.