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Finding the Fourth Proportional to 27,506.50, 37,968.81 and 16,328.50

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Solution

The fourth proportional to 27,506.50, 37,968.81 and 16,328.50 is: 22,539.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,506.50 : 37,968.81 = 16,328.50 : x
  2. Step 2: Convert to fraction form
    27,506.50/37,968.81 = 16,328.50/x
  3. Step 3: Cross multiply
    27,506.50x = 37,968.81 × 16,328.50
  4. Step 4: Simplify right side
    27,506.50x = 619,973,714.09
  5. Step 5: Solve for x
    x = 619,973,714.09/27,506.50
  6. Step 6: Final answer
    x = 22,539.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.