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Finding the Fourth Proportional to 59,596.75, 89,406.06 and 28,432

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Solution

The fourth proportional to 59,596.75, 89,406.06 and 28,432 is: 42,653.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,596.75 : 89,406.06 = 28,432 : x
  2. Step 2: Convert to fraction form
    59,596.75/89,406.06 = 28,432/x
  3. Step 3: Cross multiply
    59,596.75x = 89,406.06 × 28,432
  4. Step 4: Simplify right side
    59,596.75x = 2,541,993,097.92
  5. Step 5: Solve for x
    x = 2,541,993,097.92/59,596.75
  6. Step 6: Final answer
    x = 42,653.22

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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.