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Finding the Fourth Proportional to 30,298.16, 41,810.24 and 16,869.04

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Solution

The fourth proportional to 30,298.16, 41,810.24 and 16,869.04 is: 23,278.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,298.16 : 41,810.24 = 16,869.04 : x
  2. Step 2: Convert to fraction form
    30,298.16/41,810.24 = 16,869.04/x
  3. Step 3: Cross multiply
    30,298.16x = 41,810.24 × 16,869.04
  4. Step 4: Simplify right side
    30,298.16x = 705,298,317.57
  5. Step 5: Solve for x
    x = 705,298,317.57/30,298.16
  6. Step 6: Final answer
    x = 23,278.59

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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.