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Finding the Fourth Proportional to 110,042.72, 165,075.01 and 39,927.50

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Solution

The fourth proportional to 110,042.72, 165,075.01 and 39,927.50 is: 59,895.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,042.72 : 165,075.01 = 39,927.50 : x
  2. Step 2: Convert to fraction form
    110,042.72/165,075.01 = 39,927.50/x
  3. Step 3: Cross multiply
    110,042.72x = 165,075.01 × 39,927.50
  4. Step 4: Simplify right side
    110,042.72x = 6,591,032,461.78
  5. Step 5: Solve for x
    x = 6,591,032,461.78/110,042.72
  6. Step 6: Final answer
    x = 59,895.22

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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.