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Finding the Fourth Proportional to 38,412.40, 57,661.80 and 22,838.80

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Solution

The fourth proportional to 38,412.40, 57,661.80 and 22,838.80 is: 34,283.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,412.40 : 57,661.80 = 22,838.80 : x
  2. Step 2: Convert to fraction form
    38,412.40/57,661.80 = 22,838.80/x
  3. Step 3: Cross multiply
    38,412.40x = 57,661.80 × 22,838.80
  4. Step 4: Simplify right side
    38,412.40x = 1,316,926,317.84
  5. Step 5: Solve for x
    x = 1,316,926,317.84/38,412.40
  6. Step 6: Final answer
    x = 34,283.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.