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Finding the Fourth Proportional to 76,460.61, 105,531.15 and 44,196.60

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Solution

The fourth proportional to 76,460.61, 105,531.15 and 44,196.60 is: 61,000.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,460.61 : 105,531.15 = 44,196.60 : x
  2. Step 2: Convert to fraction form
    76,460.61/105,531.15 = 44,196.60/x
  3. Step 3: Cross multiply
    76,460.61x = 105,531.15 × 44,196.60
  4. Step 4: Simplify right side
    76,460.61x = 4,664,118,024.09
  5. Step 5: Solve for x
    x = 4,664,118,024.09/76,460.61
  6. Step 6: Final answer
    x = 61,000.27

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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.