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Finding the Fourth Proportional to 76,596.50, 105,703.17 and 43,062.74

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Solution

The fourth proportional to 76,596.50, 105,703.17 and 43,062.74 is: 59,426.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,596.50 : 105,703.17 = 43,062.74 : x
  2. Step 2: Convert to fraction form
    76,596.50/105,703.17 = 43,062.74/x
  3. Step 3: Cross multiply
    76,596.50x = 105,703.17 × 43,062.74
  4. Step 4: Simplify right side
    76,596.50x = 4,551,868,126.89
  5. Step 5: Solve for x
    x = 4,551,868,126.89/76,596.50
  6. Step 6: Final answer
    x = 59,426.58

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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.