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Finding the Fourth Proportional to 59,643.90, 89,506.08 and 24,582.78

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Solution

The fourth proportional to 59,643.90, 89,506.08 and 24,582.78 is: 36,890.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,643.90 : 89,506.08 = 24,582.78 : x
  2. Step 2: Convert to fraction form
    59,643.90/89,506.08 = 24,582.78/x
  3. Step 3: Cross multiply
    59,643.90x = 89,506.08 × 24,582.78
  4. Step 4: Simplify right side
    59,643.90x = 2,200,308,273.30
  5. Step 5: Solve for x
    x = 2,200,308,273.30/59,643.90
  6. Step 6: Final answer
    x = 36,890.75

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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.