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Finding the Fourth Proportional to 107,820.94, 148,793.93 and 59,424.63

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Solution

The fourth proportional to 107,820.94, 148,793.93 and 59,424.63 is: 82,006.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,820.94 : 148,793.93 = 59,424.63 : x
  2. Step 2: Convert to fraction form
    107,820.94/148,793.93 = 59,424.63/x
  3. Step 3: Cross multiply
    107,820.94x = 148,793.93 × 59,424.63
  4. Step 4: Simplify right side
    107,820.94x = 8,842,024,236.50
  5. Step 5: Solve for x
    x = 8,842,024,236.50/107,820.94
  6. Step 6: Final answer
    x = 82,006.56

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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.