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Finding the Fourth Proportional to 76,714.83, 105,881.85 and 44,454.69

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Solution

The fourth proportional to 76,714.83, 105,881.85 and 44,454.69 is: 61,356.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,714.83 : 105,881.85 = 44,454.69 : x
  2. Step 2: Convert to fraction form
    76,714.83/105,881.85 = 44,454.69/x
  3. Step 3: Cross multiply
    76,714.83x = 105,881.85 × 44,454.69
  4. Step 4: Simplify right side
    76,714.83x = 4,706,944,818.38
  5. Step 5: Solve for x
    x = 4,706,944,818.38/76,714.83
  6. Step 6: Final answer
    x = 61,356.39

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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.