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Finding the Fourth Proportional to 76,383.50, 105,409.95 and 42,850.22

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Solution

The fourth proportional to 76,383.50, 105,409.95 and 42,850.22 is: 59,133.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,383.50 : 105,409.95 = 42,850.22 : x
  2. Step 2: Convert to fraction form
    76,383.50/105,409.95 = 42,850.22/x
  3. Step 3: Cross multiply
    76,383.50x = 105,409.95 × 42,850.22
  4. Step 4: Simplify right side
    76,383.50x = 4,516,839,547.69
  5. Step 5: Solve for x
    x = 4,516,839,547.69/76,383.50
  6. Step 6: Final answer
    x = 59,133.71

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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.