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Finding the Fourth Proportional to 76,667.40, 105,802.20 and 43,133.40

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Solution

The fourth proportional to 76,667.40, 105,802.20 and 43,133.40 is: 59,524.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,667.40 : 105,802.20 = 43,133.40 : x
  2. Step 2: Convert to fraction form
    76,667.40/105,802.20 = 43,133.40/x
  3. Step 3: Cross multiply
    76,667.40x = 105,802.20 × 43,133.40
  4. Step 4: Simplify right side
    76,667.40x = 4,563,608,613.48
  5. Step 5: Solve for x
    x = 4,563,608,613.48/76,667.40
  6. Step 6: Final answer
    x = 59,524.76

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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.