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Finding the Fourth Proportional to 77,817, 107,406.90 and 44,302.44

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Solution

The fourth proportional to 77,817, 107,406.90 and 44,302.44 is: 61,148.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,817 : 107,406.90 = 44,302.44 : x
  2. Step 2: Convert to fraction form
    77,817/107,406.90 = 44,302.44/x
  3. Step 3: Cross multiply
    77,817x = 107,406.90 × 44,302.44
  4. Step 4: Simplify right side
    77,817x = 4,758,387,742.84
  5. Step 5: Solve for x
    x = 4,758,387,742.84/77,817
  6. Step 6: Final answer
    x = 61,148.43

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1.5x scale

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.