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Finding the Fourth Proportional to 59,847.84, 89,762.03 and 28,257.84

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Solution

The fourth proportional to 59,847.84, 89,762.03 and 28,257.84 is: 42,382.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,847.84 : 89,762.03 = 28,257.84 : x
  2. Step 2: Convert to fraction form
    59,847.84/89,762.03 = 28,257.84/x
  3. Step 3: Cross multiply
    59,847.84x = 89,762.03 × 28,257.84
  4. Step 4: Simplify right side
    59,847.84x = 2,536,480,633.01
  5. Step 5: Solve for x
    x = 2,536,480,633.01/59,847.84
  6. Step 6: Final answer
    x = 42,382.16

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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.