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Finding the Fourth Proportional to 76,735.71, 105,870.92 and 43,195.23

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Solution

The fourth proportional to 76,735.71, 105,870.92 and 43,195.23 is: 59,595.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,735.71 : 105,870.92 = 43,195.23 : x
  2. Step 2: Convert to fraction form
    76,735.71/105,870.92 = 43,195.23/x
  3. Step 3: Cross multiply
    76,735.71x = 105,870.92 × 43,195.23
  4. Step 4: Simplify right side
    76,735.71x = 4,573,118,523.74
  5. Step 5: Solve for x
    x = 4,573,118,523.74/76,735.71
  6. Step 6: Final answer
    x = 59,595.70

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1.5x scale

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.