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Finding the Fourth Proportional to 35,374.69, 53,043.77 and 10,411.50

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Solution

The fourth proportional to 35,374.69, 53,043.77 and 10,411.50 is: 15,611.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,374.69 : 53,043.77 = 10,411.50 : x
  2. Step 2: Convert to fraction form
    35,374.69/53,043.77 = 10,411.50/x
  3. Step 3: Cross multiply
    35,374.69x = 53,043.77 × 10,411.50
  4. Step 4: Simplify right side
    35,374.69x = 552,264,946.14
  5. Step 5: Solve for x
    x = 552,264,946.14/35,374.69
  6. Step 6: Final answer
    x = 15,611.87

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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.