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Finding the Fourth Proportional to 76,707.59, 105,829.08 and 44,424.59

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Solution

The fourth proportional to 76,707.59, 105,829.08 and 44,424.59 is: 61,290.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,707.59 : 105,829.08 = 44,424.59 : x
  2. Step 2: Convert to fraction form
    76,707.59/105,829.08 = 44,424.59/x
  3. Step 3: Cross multiply
    76,707.59x = 105,829.08 × 44,424.59
  4. Step 4: Simplify right side
    76,707.59x = 4,701,413,043.23
  5. Step 5: Solve for x
    x = 4,701,413,043.23/76,707.59
  6. Step 6: Final answer
    x = 61,290.06

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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.