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Finding the Fourth Proportional to 35,458.50, 53,196.87 and 13,272.20

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Solution

The fourth proportional to 35,458.50, 53,196.87 and 13,272.20 is: 19,911.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,458.50 : 53,196.87 = 13,272.20 : x
  2. Step 2: Convert to fraction form
    35,458.50/53,196.87 = 13,272.20/x
  3. Step 3: Cross multiply
    35,458.50x = 53,196.87 × 13,272.20
  4. Step 4: Simplify right side
    35,458.50x = 706,039,165.67
  5. Step 5: Solve for x
    x = 706,039,165.67/35,458.50
  6. Step 6: Final answer
    x = 19,911.70

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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.