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Finding the Fourth Proportional to 48,227.84, 72,353.04 and 14,946.16

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Solution

The fourth proportional to 48,227.84, 72,353.04 and 14,946.16 is: 22,422.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,227.84 : 72,353.04 = 14,946.16 : x
  2. Step 2: Convert to fraction form
    48,227.84/72,353.04 = 14,946.16/x
  3. Step 3: Cross multiply
    48,227.84x = 72,353.04 × 14,946.16
  4. Step 4: Simplify right side
    48,227.84x = 1,081,400,112.33
  5. Step 5: Solve for x
    x = 1,081,400,112.33/48,227.84
  6. Step 6: Final answer
    x = 22,422.74

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1.5x scale

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.