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Finding the Fourth Proportional to 42,296.50, 63,444.75 and 14,594.50

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Solution

The fourth proportional to 42,296.50, 63,444.75 and 14,594.50 is: 21,891.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,296.50 : 63,444.75 = 14,594.50 : x
  2. Step 2: Convert to fraction form
    42,296.50/63,444.75 = 14,594.50/x
  3. Step 3: Cross multiply
    42,296.50x = 63,444.75 × 14,594.50
  4. Step 4: Simplify right side
    42,296.50x = 925,944,403.88
  5. Step 5: Solve for x
    x = 925,944,403.88/42,296.50
  6. Step 6: Final answer
    x = 21,891.75

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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.