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Finding the Fourth Proportional to 45,782.47, 63,185.03 and 27,887.95

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Solution

The fourth proportional to 45,782.47, 63,185.03 and 27,887.95 is: 38,488.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,782.47 : 63,185.03 = 27,887.95 : x
  2. Step 2: Convert to fraction form
    45,782.47/63,185.03 = 27,887.95/x
  3. Step 3: Cross multiply
    45,782.47x = 63,185.03 × 27,887.95
  4. Step 4: Simplify right side
    45,782.47x = 1,762,100,957.39
  5. Step 5: Solve for x
    x = 1,762,100,957.39/45,782.47
  6. Step 6: Final answer
    x = 38,488.55

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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.