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Finding the Fourth Proportional to 45,963.68, 63,425.40 and 25,816

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Solution

The fourth proportional to 45,963.68, 63,425.40 and 25,816 is: 35,623.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,963.68 : 63,425.40 = 25,816 : x
  2. Step 2: Convert to fraction form
    45,963.68/63,425.40 = 25,816/x
  3. Step 3: Cross multiply
    45,963.68x = 63,425.40 × 25,816
  4. Step 4: Simplify right side
    45,963.68x = 1,637,390,126.40
  5. Step 5: Solve for x
    x = 1,637,390,126.40/45,963.68
  6. Step 6: Final answer
    x = 35,623.56

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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.