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Finding the Fourth Proportional to 30,258.65, 41,753.74 and 16,827.74

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Solution

The fourth proportional to 30,258.65, 41,753.74 and 16,827.74 is: 23,220.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,258.65 : 41,753.74 = 16,827.74 : x
  2. Step 2: Convert to fraction form
    30,258.65/41,753.74 = 16,827.74/x
  3. Step 3: Cross multiply
    30,258.65x = 41,753.74 × 16,827.74
  4. Step 4: Simplify right side
    30,258.65x = 702,621,080.75
  5. Step 5: Solve for x
    x = 702,621,080.75/30,258.65
  6. Step 6: Final answer
    x = 23,220.50

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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.