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Finding the Fourth Proportional to 107,092.88, 147,789 and 59,347

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Solution

The fourth proportional to 107,092.88, 147,789 and 59,347 is: 81,899.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,092.88 : 147,789 = 59,347 : x
  2. Step 2: Convert to fraction form
    107,092.88/147,789 = 59,347/x
  3. Step 3: Cross multiply
    107,092.88x = 147,789 × 59,347
  4. Step 4: Simplify right side
    107,092.88x = 8,770,833,783
  5. Step 5: Solve for x
    x = 8,770,833,783/107,092.88
  6. Step 6: Final answer
    x = 81,899.32

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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.