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Finding the Fourth Proportional to 103,210.08, 154,884.16 and 37,546.08

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Solution

The fourth proportional to 103,210.08, 154,884.16 and 37,546.08 is: 56,344.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,210.08 : 154,884.16 = 37,546.08 : x
  2. Step 2: Convert to fraction form
    103,210.08/154,884.16 = 37,546.08/x
  3. Step 3: Cross multiply
    103,210.08x = 154,884.16 × 37,546.08
  4. Step 4: Simplify right side
    103,210.08x = 5,815,293,062.09
  5. Step 5: Solve for x
    x = 5,815,293,062.09/103,210.08
  6. Step 6: Final answer
    x = 56,344.24

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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.