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Finding the Fourth Proportional to 41,549, 62,323.50 and 12,365

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Solution

The fourth proportional to 41,549, 62,323.50 and 12,365 is: 18,547.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,549 : 62,323.50 = 12,365 : x
  2. Step 2: Convert to fraction form
    41,549/62,323.50 = 12,365/x
  3. Step 3: Cross multiply
    41,549x = 62,323.50 × 12,365
  4. Step 4: Simplify right side
    41,549x = 770,630,077.50
  5. Step 5: Solve for x
    x = 770,630,077.50/41,549
  6. Step 6: Final answer
    x = 18,547.50

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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.