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Finding the Fourth Proportional to 35,043.71, 52,557.71 and 10,078.20

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Solution

The fourth proportional to 35,043.71, 52,557.71 and 10,078.20 is: 15,115.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,043.71 : 52,557.71 = 10,078.20 : x
  2. Step 2: Convert to fraction form
    35,043.71/52,557.71 = 10,078.20/x
  3. Step 3: Cross multiply
    35,043.71x = 52,557.71 × 10,078.20
  4. Step 4: Simplify right side
    35,043.71x = 529,686,971.40
  5. Step 5: Solve for x
    x = 529,686,971.40/35,043.71
  6. Step 6: Final answer
    x = 15,115.04

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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.