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Finding the Fourth Proportional to 110,025, 165,058.71 and 46,843.95

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Solution

The fourth proportional to 110,025, 165,058.71 and 46,843.95 is: 70,274.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,025 : 165,058.71 = 46,843.95 : x
  2. Step 2: Convert to fraction form
    110,025/165,058.71 = 46,843.95/x
  3. Step 3: Cross multiply
    110,025x = 165,058.71 × 46,843.95
  4. Step 4: Simplify right side
    110,025x = 7,732,001,958.30
  5. Step 5: Solve for x
    x = 7,732,001,958.30/110,025
  6. Step 6: Final answer
    x = 70,274.96

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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.