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Finding the Fourth Proportional to 74,343.36, 102,592.80 and 46,056

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Solution

The fourth proportional to 74,343.36, 102,592.80 and 46,056 is: 63,556.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,343.36 : 102,592.80 = 46,056 : x
  2. Step 2: Convert to fraction form
    74,343.36/102,592.80 = 46,056/x
  3. Step 3: Cross multiply
    74,343.36x = 102,592.80 × 46,056
  4. Step 4: Simplify right side
    74,343.36x = 4,725,013,996.80
  5. Step 5: Solve for x
    x = 4,725,013,996.80/74,343.36
  6. Step 6: Final answer
    x = 63,556.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.