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Finding the Fourth Proportional to 44,214.90, 66,323.02 and 24,618

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Solution

The fourth proportional to 44,214.90, 66,323.02 and 24,618 is: 36,927.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,214.90 : 66,323.02 = 24,618 : x
  2. Step 2: Convert to fraction form
    44,214.90/66,323.02 = 24,618/x
  3. Step 3: Cross multiply
    44,214.90x = 66,323.02 × 24,618
  4. Step 4: Simplify right side
    44,214.90x = 1,632,740,106.36
  5. Step 5: Solve for x
    x = 1,632,740,106.36/44,214.90
  6. Step 6: Final answer
    x = 36,927.37

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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.