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Finding the Fourth Proportional to 35,447.40, 53,168.10 and 10,823.40

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Solution

The fourth proportional to 35,447.40, 53,168.10 and 10,823.40 is: 16,234.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,447.40 : 53,168.10 = 10,823.40 : x
  2. Step 2: Convert to fraction form
    35,447.40/53,168.10 = 10,823.40/x
  3. Step 3: Cross multiply
    35,447.40x = 53,168.10 × 10,823.40
  4. Step 4: Simplify right side
    35,447.40x = 575,459,613.54
  5. Step 5: Solve for x
    x = 575,459,613.54/35,447.40
  6. Step 6: Final answer
    x = 16,234.18

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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.