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Finding the Fourth Proportional to 29,784.80, 41,802.40 and 29,784.80

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Solution

The fourth proportional to 29,784.80, 41,802.40 and 29,784.80 is: 41,802.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,784.80 : 41,802.40 = 29,784.80 : x
  2. Step 2: Convert to fraction form
    29,784.80/41,802.40 = 29,784.80/x
  3. Step 3: Cross multiply
    29,784.80x = 41,802.40 × 29,784.80
  4. Step 4: Simplify right side
    29,784.80x = 1,245,076,123.52
  5. Step 5: Solve for x
    x = 1,245,076,123.52/29,784.80
  6. Step 6: Final answer
    x = 41,802.40

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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.