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Finding the Fourth Proportional to 76,683.65, 105,820.84 and 43,143.17

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Solution

The fourth proportional to 76,683.65, 105,820.84 and 43,143.17 is: 59,536.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,683.65 : 105,820.84 = 43,143.17 : x
  2. Step 2: Convert to fraction form
    76,683.65/105,820.84 = 43,143.17/x
  3. Step 3: Cross multiply
    76,683.65x = 105,820.84 × 43,143.17
  4. Step 4: Simplify right side
    76,683.65x = 4,565,446,489.66
  5. Step 5: Solve for x
    x = 4,565,446,489.66/76,683.65
  6. Step 6: Final answer
    x = 59,536.11

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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.