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Finding the Fourth Proportional to 83,653.44, 125,498.88 and 28,248

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Solution

The fourth proportional to 83,653.44, 125,498.88 and 28,248 is: 42,378.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,653.44 : 125,498.88 = 28,248 : x
  2. Step 2: Convert to fraction form
    83,653.44/125,498.88 = 28,248/x
  3. Step 3: Cross multiply
    83,653.44x = 125,498.88 × 28,248
  4. Step 4: Simplify right side
    83,653.44x = 3,545,092,362.24
  5. Step 5: Solve for x
    x = 3,545,092,362.24/83,653.44
  6. Step 6: Final answer
    x = 42,378.32

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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.