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Finding the Fourth Proportional to 35,245.40, 52,877.10 and 24,877.40

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Solution

The fourth proportional to 35,245.40, 52,877.10 and 24,877.40 is: 37,322.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,245.40 : 52,877.10 = 24,877.40 : x
  2. Step 2: Convert to fraction form
    35,245.40/52,877.10 = 24,877.40/x
  3. Step 3: Cross multiply
    35,245.40x = 52,877.10 × 24,877.40
  4. Step 4: Simplify right side
    35,245.40x = 1,315,444,767.54
  5. Step 5: Solve for x
    x = 1,315,444,767.54/35,245.40
  6. Step 6: Final answer
    x = 37,322.45

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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.