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Finding the Fourth Proportional to 76,702.59, 105,824.21 and 44,848.94

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Solution

The fourth proportional to 76,702.59, 105,824.21 and 44,848.94 is: 61,876.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,702.59 : 105,824.21 = 44,848.94 : x
  2. Step 2: Convert to fraction form
    76,702.59/105,824.21 = 44,848.94/x
  3. Step 3: Cross multiply
    76,702.59x = 105,824.21 × 44,848.94
  4. Step 4: Simplify right side
    76,702.59x = 4,746,102,891.47
  5. Step 5: Solve for x
    x = 4,746,102,891.47/76,702.59
  6. Step 6: Final answer
    x = 61,876.70

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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.