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Finding the Fourth Proportional to 76,594, 105,699.92 and 44,780.44

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Solution

The fourth proportional to 76,594, 105,699.92 and 44,780.44 is: 61,797.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,594 : 105,699.92 = 44,780.44 : x
  2. Step 2: Convert to fraction form
    76,594/105,699.92 = 44,780.44/x
  3. Step 3: Cross multiply
    76,594x = 105,699.92 × 44,780.44
  4. Step 4: Simplify right side
    76,594x = 4,733,288,925.56
  5. Step 5: Solve for x
    x = 4,733,288,925.56/76,594
  6. Step 6: Final answer
    x = 61,797.12

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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.