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Finding the Fourth Proportional to 74,496.38, 102,805.00 and 40,962.38

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Solution

The fourth proportional to 74,496.38, 102,805.00 and 40,962.38 is: 56,528.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,496.38 : 102,805.00 = 40,962.38 : x
  2. Step 2: Convert to fraction form
    74,496.38/102,805.00 = 40,962.38/x
  3. Step 3: Cross multiply
    74,496.38x = 102,805.00 × 40,962.38
  4. Step 4: Simplify right side
    74,496.38x = 4,211,136,859.47
  5. Step 5: Solve for x
    x = 4,211,136,859.47/74,496.38
  6. Step 6: Final answer
    x = 56,528.08

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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.