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Finding the Fourth Proportional to 46,289.50, 69,437.50 and 18,587.50

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Solution

The fourth proportional to 46,289.50, 69,437.50 and 18,587.50 is: 27,882.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,289.50 : 69,437.50 = 18,587.50 : x
  2. Step 2: Convert to fraction form
    46,289.50/69,437.50 = 18,587.50/x
  3. Step 3: Cross multiply
    46,289.50x = 69,437.50 × 18,587.50
  4. Step 4: Simplify right side
    46,289.50x = 1,290,669,531.25
  5. Step 5: Solve for x
    x = 1,290,669,531.25/46,289.50
  6. Step 6: Final answer
    x = 27,882.56

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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.