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Finding the Fourth Proportional to 24,148.40, 33,830.80 and 24,148.40

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Solution

The fourth proportional to 24,148.40, 33,830.80 and 24,148.40 is: 33,830.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,148.40 : 33,830.80 = 24,148.40 : x
  2. Step 2: Convert to fraction form
    24,148.40/33,830.80 = 24,148.40/x
  3. Step 3: Cross multiply
    24,148.40x = 33,830.80 × 24,148.40
  4. Step 4: Simplify right side
    24,148.40x = 816,959,690.72
  5. Step 5: Solve for x
    x = 816,959,690.72/24,148.40
  6. Step 6: Final answer
    x = 33,830.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.