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Finding the Fourth Proportional to 76,521.84, 105,599.28 and 44,695.44

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Solution

The fourth proportional to 76,521.84, 105,599.28 and 44,695.44 is: 61,679.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,521.84 : 105,599.28 = 44,695.44 : x
  2. Step 2: Convert to fraction form
    76,521.84/105,599.28 = 44,695.44/x
  3. Step 3: Cross multiply
    76,521.84x = 105,599.28 × 44,695.44
  4. Step 4: Simplify right side
    76,521.84x = 4,719,806,283.28
  5. Step 5: Solve for x
    x = 4,719,806,283.28/76,521.84
  6. Step 6: Final answer
    x = 61,679.21

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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.