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Finding the Fourth Proportional to 48,411, 66,802.22 and 27,192.76

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Solution

The fourth proportional to 48,411, 66,802.22 and 27,192.76 is: 37,523.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,411 : 66,802.22 = 27,192.76 : x
  2. Step 2: Convert to fraction form
    48,411/66,802.22 = 27,192.76/x
  3. Step 3: Cross multiply
    48,411x = 66,802.22 × 27,192.76
  4. Step 4: Simplify right side
    48,411x = 1,816,536,735.93
  5. Step 5: Solve for x
    x = 1,816,536,735.93/48,411
  6. Step 6: Final answer
    x = 37,523.22

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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.