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Finding the Fourth Proportional to 36,458.59, 54,693.36 and 13,090.50

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Solution

The fourth proportional to 36,458.59, 54,693.36 and 13,090.50 is: 19,637.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,458.59 : 54,693.36 = 13,090.50 : x
  2. Step 2: Convert to fraction form
    36,458.59/54,693.36 = 13,090.50/x
  3. Step 3: Cross multiply
    36,458.59x = 54,693.36 × 13,090.50
  4. Step 4: Simplify right side
    36,458.59x = 715,963,429.08
  5. Step 5: Solve for x
    x = 715,963,429.08/36,458.59
  6. Step 6: Final answer
    x = 19,637.72

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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.