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Finding the Fourth Proportional to 45,542.90, 62,838.50 and 27,637.50

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Solution

The fourth proportional to 45,542.90, 62,838.50 and 27,637.50 is: 38,133.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,542.90 : 62,838.50 = 27,637.50 : x
  2. Step 2: Convert to fraction form
    45,542.90/62,838.50 = 27,637.50/x
  3. Step 3: Cross multiply
    45,542.90x = 62,838.50 × 27,637.50
  4. Step 4: Simplify right side
    45,542.90x = 1,736,699,043.75
  5. Step 5: Solve for x
    x = 1,736,699,043.75/45,542.90
  6. Step 6: Final answer
    x = 38,133.26

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Why These Related Problems?

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