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Finding the Fourth Proportional to 45,857.74, 63,256.78 and 28,835

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Solution

The fourth proportional to 45,857.74, 63,256.78 and 28,835 is: 39,775.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,857.74 : 63,256.78 = 28,835 : x
  2. Step 2: Convert to fraction form
    45,857.74/63,256.78 = 28,835/x
  3. Step 3: Cross multiply
    45,857.74x = 63,256.78 × 28,835
  4. Step 4: Simplify right side
    45,857.74x = 1,824,009,251.30
  5. Step 5: Solve for x
    x = 1,824,009,251.30/45,857.74
  6. Step 6: Final answer
    x = 39,775.38

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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.