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Finding the Fourth Proportional to 76,677.21, 105,830.28 and 44,853.93

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Solution

The fourth proportional to 76,677.21, 105,830.28 and 44,853.93 is: 61,907.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,677.21 : 105,830.28 = 44,853.93 : x
  2. Step 2: Convert to fraction form
    76,677.21/105,830.28 = 44,853.93/x
  3. Step 3: Cross multiply
    76,677.21x = 105,830.28 × 44,853.93
  4. Step 4: Simplify right side
    76,677.21x = 4,746,903,971.00
  5. Step 5: Solve for x
    x = 4,746,903,971.00/76,677.21
  6. Step 6: Final answer
    x = 61,907.63

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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.